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Math at Andrews

Differential Geometry

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Explore local curve theory, curvature, Frenet-Serret formulas, and the Fundamental Theorem of Curves in this comprehensive introduction to differential geometry.
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6 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Differential Forms

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Explora las formas diferenciales, sus propiedades algebraicas, integración y aplicaciones en cálculo vectorial y ecuaciones de Maxwell.
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23 Lesons
7 hours
On-Demand
Free-Video
Santa Fe Institute

Sloppy Models, Differential Geometry, and Why Science Works

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Explore how complex systems can be modeled despite parameter uncertainties, using differential geometry to understand 'sloppiness' and its implications for scientific comprehension and prediction.
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14 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Santa Fe Institute

Topology Shapes Dynamics of Higher-order Networks

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Exploring how higher-order network interactions influence non-linear dynamics, synchronization, and percolation in complex systems like brain networks and climate patterns.
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1 Lesons
56 minutes
On-Demand
Free-Video
University of Oxford

Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1

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Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.
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1 Lesons
53 minutes
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M-Seminar, Kansas State University

Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture

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Explore the concept of Lagrangian realization in tropical geometry through this M-Seminar talk by Jeff Hicks from the University of Edinburgh. Delve into the relationship between tropical curves in the base of a Lagrangian torus fibration and their corre…
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institute for Advanced Study

Floer Homology with DG Coefficients - Applications to Cotangent Bundles

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Explore Floer homology with DG coefficients and its applications to cotangent bundles. Gain insights into symplectic geometry and dynamical systems through advanced mathematical concepts.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Spectral Analysis of Dirac Operators with a Purely Imaginary Dislocation

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Explore spectral analysis of Dirac operators with imaginary dislocation, covering Green functions, pseudospectra, and effects of matrix potentials on essential and discrete spectra.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

A Panorama of Singular Sub-Laplacians and Their Spectra

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Explore exotic properties of Laplace-Beltrami operators on rank-varying sub-Riemannian structures. Delve into self-adjointness, spectral properties, and sub-Riemannian Weyl laws. Discover open questions in this fascinating field.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Moduli Space of Twisted Laplacians and Random Matrix Theory

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Explore the convergence of spectral number variance for twisted Laplacians to random matrix theory ensembles, extending Rudnick's work to break time-reversal symmetry and include Dirac operators.
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1 Lesons
1 hour 1 minute
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Free-Video
Institute for Advanced Study

Equivariant Symplectic Homology - Ekeland-Hofer Capacities and Gutt-Hutchings Capacities

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Explore the connection between Ekeland-Hofer and Gutt-Hutchings capacities in star-shaped domains, unraveling their equivalence through equivariant symplectic homology.
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1 Lesons
1 hour 12 minutes
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Free-Video
Fields Institute

Derived Moduli Spaces of Hermitian-Einstein Connections

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Explore advanced concepts in geometry and physics, focusing on derived moduli spaces of Hermitian-Einstein connections in this seminar by Dennis Borisov.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Symmetries of Manifolds - Lecture 3

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Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
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1 Lesons
1 hour 2 minutes
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Free-Video
University of Chicago Department of Mathematics

Symmetries of Manifolds - Lecture 2

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Delve into symmetries of manifolds, exploring classical and recent results on spaces of symmetries for simple manifolds like spheres and discs, with insights into emerging conjectural perspectives.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Symmetries of Manifolds - Lecture 1

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Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
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1 Lesons
58 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Generalizations of the Bernstein Problem

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Dive into Otis Chodosh's exploration of the Bernstein Problem's generalizations, examining minimal surface equations and their connections to higher dimensions.
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1 Lesons
57 minutes
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Free-Video
University of Chicago Department of Mathematics

Nonlinear Harmonic Maps and the Energy Identity

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Dive into nonlinear harmonic maps, exploring singularity formation and defect measures. Gain insights into the Energy Identity conjecture and its recent proof in this advanced mathematics lecture.
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1 Lesons
56 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Poisson Algebra, Combinatorics and Representations of Surface Groups

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Dive into Poisson algebras, combinatorics, and surface group representations. Explore Goldman's Lie algebra construction and its applications to character varieties and Anosov representations.
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1 Lesons
54 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Growth of Laplacian Eigenfunctions

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Delve into the growth patterns of Laplacian eigenfunctions on compact manifolds, exploring concentration phenomena and the intriguing 'spooky action at a distance' in mathematical contexts.
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1 Lesons
55 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Counting Closed Geodesics and Improving Weyl's Law for Predominant Sets of Metrics

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Dive into the behavior of closed geodesics and Weyl's law on compact manifolds. Explore predominance in Riemannian metrics and its implications for quantitative bounds in geometry.
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1 Lesons
54 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Courant, Bezout, and Persistence - Lecture 2

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Explore spectral geometry through persistence modules and barcodes, examining oscillation of functions and applications to Courant's nodal domain theorem and Bezout's theorem in eigenfunctions.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Courant, Bezout, and Persistence in Spectral Geometry - Lecture 1

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Explore spectral geometry and topological persistence, focusing on oscillation of functions, Courant's nodal domain theorem, and Bezout's theorem in the context of eigenfunctions.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 1

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Explore renormalization theory in two-dimensional dynamical systems, extending techniques from one-dimensional cases to higher dimensions using non-uniformly partially hyperbolic systems.
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1 Lesons
38 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1

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Dive into chain recurrence classes of generic diffeomorphisms, exploring advanced concepts in dynamical systems and topology.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Strong Positive Recurrence for Diffeomorphisms

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Explore strong positive recurrence in diffeomorphisms, its implications for entropy-maximizing measures, and its equivalence to Lyapunov exponent continuity. Gain insights into smooth diffeomorphisms on compact surfaces.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 2

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Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Discover link spectral invariants and their role in solving this problem.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video

Physics

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Explora las ecuaciones de Maxwell a través de formas diferenciales y observa a un profesor de matemáticas enfrentarse a un desafío de la Olimpiada de Física.
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2 Lesons
30 minutes
On-Demand
Free-Video
Institute for Advanced Study

Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina Rotman

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Explore 2D Riemannian geometry, focusing on disks and spheres. Learn about geodesics, sweep-outs, and curve shortening through examples and problem-solving.
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8 Lesons
1 hour
On-Demand
Free-Video
Institute for Advanced Study

Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete

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Explore advanced geometric concepts in hyperbolic 3-manifolds, focusing on renormalized volume bounds, mean curvature, and variation formulas through rigorous mathematical analysis.
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11 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Institute for Advanced Study

Notions of Scalar Curvature - Mikhail Gromov

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Explore scalar curvature concepts, spin bundles, and rich curves with renowned mathematician Mikhail Gromov in this advanced topology lecture from the Institute for Advanced Study.
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6 Lesons
59 minutes
On-Demand
Free-Video
Institute for Advanced Study

Existence Theory of Minimal Hypersurfaces - Fernando Marquez

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Explore the existence theory of minimal hypersurfaces, covering minimax theorems, space of cycles, and volume spectrum. Gain insights into Ricci curvature and generic metrics.
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16 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

How Hard is the Theorem of Stolz - Metrics and Scalar Curvature in Spin Manifolds

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Delve into the complexity of Stolz's theorem on positive scalar curvature metrics, exploring metric deformations and manifold transformations through groundbreaking mathematical research findings.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Current Algebra and Generalised Cartan Geometry

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Dive into advanced mathematical concepts exploring current algebra and generalized Cartan geometry, examining their interconnections and applications in mathematical physics.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Collapsed Anosov Flows: Characterizations and Proofs - Lecture 2

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Delve into equivalent characterizations of collapsed Anosov flows and their strong variants, exploring key mathematical proofs and theoretical foundations in dynamical systems.
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1 Lesons
50 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 18

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Explore advanced concepts in differential geometry, including manifolds, tangent bundles, and differential forms. Delve into the Whitney embedding theorem and De Rham cohomology.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 17

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Aprofunde-se em análise em variedades, explorando tópicos avançados como variedades diferenciáveis, fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa matemática.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 16

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Assista à décima sexta aula do curso de mestrado em Análise em Variedades, ministrada pelo Professor Vinicius Ramos no Instituto de Matemática Pura e Aplicada. Explore conceitos avançados como variedades diferenciáveis, variedades com bordo, variedades o…
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 19

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Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 3

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Explore geometric measure theory and optimal transport with a focus on Monge-Ampère equations and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
IMSA

The Calabi Problem from a Birational Geometer's Viewpoint - Part 2

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Explore the Calabi problem in Fano manifolds, focusing on recent developments in birational geometry and K-polystability. Gain insights from a renowned algebraic geometer.
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1 Lesons
53 minutes
On-Demand
Free-Video
IMSA

The Calabi Problem from a Birational Geometer's Viewpoint - Part 1

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Explore the Calabi problem in complex geometry, focusing on Kähler-Einstein metrics and recent developments in birational geometry. Learn from renowned algebraic geometer Carolina Araujo.
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1 Lesons
54 minutes
On-Demand
Free-Video
IMSA

Canonical Weierstrass Representation of Minimal Lorentz Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

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Explore canonical Weierstrass representation of minimal Lorentz surfaces in pseudo-Euclidean 4-space, including isothermal parameters, PDEs, and explicit solutions.
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1 Lesons
42 minutes
On-Demand
Free-Video
IMSA

Generalized Hitchin Systems - New Geometric Structures

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Explore generalized Hitchin systems with Bảo Châu Ngô, delving into new geometric structures and celebrating Hitchin's mathematical legacy in this insightful conference talk.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Higher Fano Manifolds in Algebraic Geometry

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Explore higher Fano manifolds in algebraic geometry, their properties, and recent developments. Learn about positivity of higher Chern characters and research on homogeneous and toric higher Fano manifolds.
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1 Lesons
52 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hard Lefschetz Theorem and Hodge-Riemann Relations for Convex Valuations

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Explore mixed hard Lefschetz theorem and Hodge-Riemann relations in smooth valuations, generalizing Alexandrov-Fenchel inequality for convex bodies using operator perturbation theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Floating Bodies and Duality in Spaces of Constant Curvature

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Explores p-affine surface area and floating bodies in curved spaces, extending Meyer & Werner's Euclidean results to spherical and hyperbolic geometries. Examines limiting behavior as curvature approaches zero.
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1 Lesons
30 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Completion of the Space of Lagrangian Submanifolds for the Spectral Metric

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Explore the spectral metric on Lagrangian spaces, its completion, and connections to symplectic topology and sheaf theory through quantization.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

An Introduction to Geometry and Dynamics on Semisimple Lie Groups - Lecture 3

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Explore semisimple Lie groups, their structure, discrete subgroups, and asymptotic behavior through advanced mathematical concepts and theorems.
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10 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Advanced General Relativity - Lecture 1

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Explore advanced concepts in General Relativity, delving into complex theories and mathematical frameworks that expand upon Einstein's groundbreaking work in spacetime and gravity.
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1 Lesons
2 hours 5 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Noncommutative Geometry of Quantum Flag Manifolds

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Explore noncommutative geometry and quantum flag manifolds in this advanced mathematics lecture, delving into complex algebraic structures and their applications.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 3

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Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.
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1 Lesons
2 hours 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 2

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Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Dynamics of Smooth Chaotic Surface Diffeomorphisms - 34th CBM Plenary Lecture

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Explore a palestra sobre dinâmica de difeomorfismos caóticos suaves em superfícies, apresentada por Omri Sarig no 34º Colóquio Brasileiro de Matemática.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 19

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Aprofunde-se na geometria diferencial de curvas e superfícies, explorando conceitos como curvatura, torção e formas fundamentais. Domine técnicas avançadas para análise de estruturas geométricas tridimensionais.
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11 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 18

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se em conceitos avançados de geometria.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 17

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria intrínseca e extrínseca.
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1 Lesons
2 hours 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry - 15th ALGA Meeting

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Explore advanced topics in algebraic geometry and commutative algebra, including differential forms, Riemann surfaces, and foliations, with expert Jorge Vitório Pereira.
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15 Lesons
38 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 08

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Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 07

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Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 06

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Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 05

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Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 04

0 rewiews
Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
2 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 22

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Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 21

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Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 20

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Explore advanced concepts in differential geometry of curves and surfaces, including curvature, geodesics, and the Gauss-Bonnet theorem. Enhance understanding of intrinsic and extrinsic geometry.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 11

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em geometria diferencial.
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1 Lesons
2 hours 4 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 10

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Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 09

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em geometria diferencial.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 16

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 15

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry - 15th ALGA

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Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Zaqueu Ramos at the 15th ALGA conference, featuring cutting-edge research and discussions in mathematics.
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1 Lesons
25 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 14

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
2 hours 9 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 13

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
2 hours 11 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 12

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em geometria diferencial.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
IPhT-TV

Hypersurface Symmetry at Infinite Distance and its Stringy Origin

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Explore Hodge-structure symmetry at infinite distance in moduli space and its connection to string theory, focusing on the Landscapia framework.
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1 Lesons
37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 12

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Domine conceitos essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 11

0 rewiews
Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 09

0 rewiews
Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 01

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Explore conceitos avançados de análise em variedades, incluindo variedades diferenciáveis, fibrados, formas diferenciais e teoremas fundamentais. Aprofunde-se na matemática de alto nível.
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1 Lesons
1 hour 32 minutes
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Instituto de Matemática Pura e Aplicada

Unlikely Intersections of Singular Foliations

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Explore unlikely intersections of singular foliations in this advanced mathematics talk, delving into complex algebraic geometry and holomorphic foliation theory.
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1 Lesons
31 minutes
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Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 07

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Aprofunde-se em análise em variedades, explorando conceitos avançados como variedades diferenciáveis, fibrados tangentes e formas diferenciais. Domine técnicas essenciais para pesquisa em matemática pura.
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1 Lesons
1 hour 29 minutes
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Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 06

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Aprofunde-se em análise em variedades, explorando tópicos avançados como variedades diferenciáveis, fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa matemática.
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1 Lesons
1 hour 29 minutes
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Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 14

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Domine conceitos essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 25 minutes
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Centre de recherches mathématiques - CRM

Goe and Gue Statistics for Random Covers of Hyperbolic Surfaces

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Explore Goe and Gue statistics for random covers of hyperbolic surfaces, delving into spectral geometry, semiclassical problems, and trace formulas.
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12 Lesons
1 hour 3 minutes
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Centre de recherches mathématiques - CRM

Plongements du Disque de Poincaré dans l'Espace Ambiant - Partie III

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Découvrez la construction explicite d'un plongement isométrique C^1 du disque de Poincaré, explorant ses propriétés surprenantes et son importance en géométrie hyperbolique.
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1 Lesons
1 hour 26 minutes
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Centre de recherches mathématiques - CRM

Plongements du Disque de Poincaré dans l'Espace Ambiant - Partie I

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Découvrez la construction explicite d'un plongement isométrique C^1 du disque de Poincaré, explorant ses propriétés surprenantes et son importance en géométrie hyperbolique.
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1 Lesons
1 hour 15 minutes
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Centre de recherches mathématiques - CRM

Plongements du Disque de Poincaré dans l'Espace Ambiant - Partie II

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Explorez la construction explicite d'un plongement isométrique C^1 du disque de Poincaré, découvrant ses propriétés surprenantes et son importance en géométrie hyperbolique.
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1 Lesons
1 hour 28 minutes
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Centre International de Rencontres Mathématiques

Positivity of Higher Exterior Powers of the Tangent Bundle

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Explorez la positivité des puissances extérieures supérieures du fibré tangent. Approfondissez les notions de positivité, les classes de chaînes et les preuves mathématiques avancées.
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7 Lesons
42 minutes
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Centre International de Rencontres Mathématiques

Algebraic Approximation of Submanifolds of Real Algebraic Varieties

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Explore algebraic approximation of submanifolds in real algebraic varieties with Olivier Benoist. Gain insights into advanced mathematical concepts and their applications in geometry.
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1 Lesons
1 hour 3 minutes
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Centre International de Rencontres Mathématiques

The Humilière Completion and Its Applications in Symplectic Geometry

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Explore the Humilière completion of Lagrangian spaces, its spectral distance study, and applications in conformal dynamics, singular Hamiltonian systems, and sheaf theory.
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1 Lesons
1 hour 6 minutes
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Centre International de Rencontres Mathématiques

Contact Flows and Birkhoff Sections - Part 2

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Explorez les flux de contact et les sections de Birkhoff dans cette conférence mathématique approfondie, présentée par Anne Vaugon et Pierre Dehornoy.
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1 Lesons
58 minutes
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Centre International de Rencontres Mathématiques

Contact Flows and Birkhoff Sections - Part 3

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Explore advanced concepts in contact flows and Birkhoff sections, delving into mathematical theories and applications in Anosov dynamics.
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1 Lesons
1 hour 3 minutes
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Centrum Fizyki Teoretycznej PAN

Applications of Tractor Calculus in General Relativity - Part II

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Explore tractor calculus applications in general relativity, focusing on spacetimes with specific asymptotic behaviors. Learn about conformal infinities, higher fundamental forms, and implications for cosmological models.
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1 Lesons
1 hour 2 minutes
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Centrum Fizyki Teoretycznej PAN

Applications of Tractor Calculus in General Relativity - Part I

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Explore tractor calculus applications in general relativity, focusing on spacetimes with specific asymptotic behaviors. Learn about conformal infinities, higher fundamental forms, and implications for cosmological models.
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12 Lesons
41 minutes
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Centrum Fizyki Teoretycznej PAN

Electromagnetic Field as a Differential 2-Form and Its Lorentz Transformation - Lecture 10

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Explore electromagnetic fields as differential 2-forms and their Lorentz transformations in this advanced theoretical physics lecture on electrodynamics and relativity.
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1 Lesons
1 hour 35 minutes
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Centrum Fizyki Teoretycznej PAN

Maxwell Equations in Any Curvilinear Coordinate System - Lecture 13

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Explore Maxwell equations in curvilinear coordinate systems, enhancing understanding of electrodynamics and relativity theory for advanced physics students.
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1 Lesons
1 hour 26 minutes
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Centrum Fizyki Teoretycznej PAN

Applications of Tractor Calculus in General Relativity - Part 3

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Explore tractor calculus applications in general relativity, focusing on spacetimes with specific asymptotic behaviors. Learn about conformal infinities, higher fundamental forms, and implications for cosmological models.
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1 Lesons
53 minutes
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Centre International de Rencontres Mathématiques

New Solution of a Problem of Kolmogorov on Width Asymptotics in Holomorphic Approximation

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Explore new solutions to Kolmogorov's problem on width asymptotics in holomorphic functions, presented by Stéphanie Nivoche at a mathematics conference.
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1 Lesons
38 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Sharp Concavity of the Isoperimetric Profile Under Lower Ricci Bounds - Workshop on Synthetic Curvature Bounds

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Explore sharp concavity of isoperimetric profiles in RCD spaces, extending Bavard-Pansu's work on Ricci curvature bounds to non-smooth, finite-dimensional settings.
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1 Lesons
53 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nijenhuis Geometry - Lecture 4

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Explore advanced concepts in Nijenhuis geometry, focusing on curvature and rigidity in mathematical structures beyond Riemannian geometry.
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1 Lesons
51 minutes
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