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#Conformal Geometry

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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
On-Demand
Free-Video
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
On-Demand
Free-Video
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
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Imersões Conformes e Versão Conforme da Parametrização de Gauss - Aula 22

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Explore conformal immersions and the conformal version of Gauss parameterization in this advanced mathematics lecture by Luis Florit.
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1 Lesons
1 hour 46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Curvature of the Determinant Line Bundle for Noncommutative Tori

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Explore differential geometry of curved noncommutative tori, including spectral invariants and curvature of determinant line bundle for Dirac operators on noncommutative two tori.
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18 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Second Order Conformally Invariant Elliptic Equations - Lecture 4

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Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP Mathematics

Superlinear Structures and Conformal Geometry

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Explore superlinear structures and conformal geometry, from historical roots to modern applications in physics and mathematics, with insights on representation theory and potential links to the standard model.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Geometry of Random Genus-0 Hyperbolic Surfaces via Trees

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Explore the geometry of random genus-0 hyperbolic surfaces through tree structures in this advanced mathematical lecture by Timothy Budd.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Gauss-Bonnet Formula for Renormalized Area of Minimal Submanifolds in Poincaré-Einstein Spaces

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Explore advanced geometric concepts in Gauss-Bonnet formula for renormalized area of minimal submanifolds in Poincaré-Einstein spaces. Delve into scattering theory, conformal invariants, and cutting-edge mathematical research.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part III

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Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in various geometric structures and physical systems.
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10 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part II

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Explore advanced mathematics of Noether Theorems in calculus of variations, covering symmetries, conservation laws, and variational principles. Gain insights into differential geometric structures and their applications.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles

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Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in calculus of variations and differential geometry.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Positive Mass Theorem for Asymptotically Flat Manifolds with Isolated Conical Singularities

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Explore recent advancements in positive mass theorem for asymptotically flat manifolds with isolated conical singularities, covering spin and non-spin settings, analysis techniques, and Geroch-type results.
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1 Lesons
45 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dirac Eigenvalue Optimization and Harmonic Maps

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Explore Dirac eigenvalue optimization, comparing it to Laplace eigenvalues and examining critical metrics' correspondence with harmonic maps to complex projective spaces.
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1 Lesons
53 minutes
On-Demand
Free-Video
Banach Center

The Mandelbrot Set and Its Satellite Copies

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Explore the fascinating world of the Mandelbrot set and its satellite copies, delving into complex mathematical concepts and intricate geometric patterns.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Geometry, Statistical Mechanics, and Integrability - IPAM at UCLA Spring 2024 Program

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Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.
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1 Lesons
34 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Gaussian Free Field and Schramm-Loewner Evolution - Part 2

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Explore Gaussian free field and Schramm-Loewner Evolution in random geometry. Discover connections between these canonical objects and their applications in statistical physics and conformal field theory.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Asymptotic Structures at Timelike Infinity from Projective Geometry

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Explore asymptotic structures at timelike infinity using projective geometry in this advanced physics lecture by Jack Borthwick.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations

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Explore the geometric description of quantum correlations using symplectic and algebraic tools. Gain insights into quantum entanglement and its unique features distinguishing quantum from classical systems.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Geometry of Quantum Correlations - Part II

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Explore quantum correlations using symplectic and algebraic geometry. Delve into entanglement, nonlocal properties, and the Einstein-Podolsky-Rosen analysis of quantum theory completeness.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Characteristic Initial Data and Smoothness of Scri

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Explore characteristic initial data and scri smoothness in general relativity, focusing on mathematical aspects and recent developments in the field.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video