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NPTEL

An Introduction to Smooth Manifolds

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The course will start with a brief outline of the prerequisites from topology and multi-variable calculus. After that a large class of examples, including Lie groups, will be presented. The course will culminate with proof of Stokes' theorem on manifolds.
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69 Lesons
1 day 11 hours
On-Demand
Free-Video
Institute for Quantum Computing

Quantum Computing for Quantum Chemistry

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Explore quantum computing's potential in solving complex quantum chemistry problems, focusing on electronic structure and Hamiltonian partitioning techniques.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 5: Transitive Centralizer and Fibered Partially Hyperbolic Systems

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Explore transitive centralizers and fibered partially hyperbolic systems in dynamical systems. Gain insights into advanced concepts in smooth ergodic theory and their applications to centralizer rigidity.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 3

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Explore two methods for studying abelian actions and centralizers: linearization and non-linearization. Delve into cohomology concepts and their applications in dynamical systems analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 6

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Explore centralizer rigidity and classification in accessible examples of dynamical systems. Gain insights into the non-generic situations where smooth centralizers form larger groups, particularly in algebraic systems.
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1 Lesons
1 hour
On-Demand
Free-Video
Friedrich–Alexander University Erlangen–Nürnberg

Geometrical Anatomy of Theoretical Physics

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Comprehensive exploration of advanced mathematical concepts in theoretical physics, from set theory to Lie groups, manifolds, and fiber bundles, with applications in quantum mechanics and symmetries.
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28 Lesons
1 day 23 hours
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
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
ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 4

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Explore geometric control theory's advanced concepts, focusing on mathematical foundations and practical applications in dynamic systems and optimization.
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1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 3

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Explore advanced concepts in geometric control theory, focusing on mathematical principles and applications in dynamic systems and optimization.
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1 Lesons
1 hour 41 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Geometric Control Theory - Part II

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Explore advanced concepts in geometric control theory, focusing on mathematical principles and applications in dynamic systems and optimization.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 1

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Explore geometric control theory fundamentals with expert Andrei Agrachev, covering key concepts and applications in this comprehensive lecture from ICTP Mathematics.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Ergodic and Mixing Properties of Horocycle Flows - Lecture 1

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Delve into the mathematical foundations of horocycle flows and their time-changes, exploring ergodic theory, mixing properties, and applications in hyperbolic geometry through advanced theoretical concepts.
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10 Lesons
1 hour
On-Demand
Free-Video
Insights into Mathematics

Simple Groups, Lie Groups, and the Search for Symmetry I - Math History - NJ Wildberger

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Explore the history of group theory, from simple groups to Lie groups, and their role in describing symmetry in geometry. Discover remarkable mathematical objects and the classification of finite simple groups.
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5 Lesons
51 minutes
On-Demand
Free-Video
Insights into Mathematics

The Ubiquity of ADE Graphs, and the Mutation and Numbers Games - Math Seminars

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Explore ADE graphs' mathematical significance, mutation games, and connections to advanced fields like Lie algebra, root systems, and physics in this insightful seminar on combinatorial structures.
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17 Lesons
51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Pseudo-Reductive Groups by Brian Conrad

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Explore pseudo-reductive groups with Brian Conrad, covering definitions, properties, and key theorems in this advanced mathematics lecture on algebraic group theory.
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8 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

Finding Solitons in Differential Geometry

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Explore solitons in differential geometry, their role in discovering distinguished geometric structures, and applications in various mathematical contexts including Lie groups and algebras.
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11 Lesons
1 hour 8 minutes
On-Demand
Free-Video
ICTP Mathematics

Singular Chains on Lie Groups and the Cartan Relations

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Explore the connection between Lie group representations and infinitesimal descriptions using Cartan relations, with applications to Chern-Weil theory and higher local systems on classifying spaces.
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19 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

Finite-Dimensional Representations of the Queer Lie Supergroup Q-N

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Explore finite-dimensional representations of Q(n), including G-modules, Qn modules, Vera's theorem, and the typical lemma in supergeometry and bracket structures.
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6 Lesons
24 minutes
On-Demand
Free-Video
IMSA

Fundamentals of Lie Groupoids and Algebroids - Lecture Series

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Introducción a la teoría de Lie de grupoides y algebroides, explorando sus definiciones, propiedades y aplicaciones en diversas estructuras geométricas.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Mathematical Union

Theta Correspondence and the Orbit Method

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Exploring theta correspondence and orbit method in representation theory, focusing on implications for unitary representations of classical groups and special unipotent representations.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Mathematical Union

Analysis with Simple Lie Groups and Lattices

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Explore advanced mathematical concepts focusing on simple Lie groups and lattices, delving into their analytical properties and applications in modern algebra and geometry.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

A Fixed-Point Formula for Dirac Operators on Lie Groupoids

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Explore fixed-point formulas for Dirac operators on Lie groupoids, delving into advanced mathematical concepts and their applications in geometric analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

Lattices in Semisimple Lie Groups: The Congruence Subgroup Problem and Boundedness Properties

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Explore lattices in semisimple Lie groups, focusing on the congruence subgroup problem and boundedness properties in this advanced mathematics seminar by Alex Lubotzky.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
IMSA

On the Second Homotopy Group of Spaces of Commuting Elements in Lie Groups

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Explore the computation of the second homotopy group of Hom(Z^n, G) spaces, focusing on compact Lie groups. Learn about geometric generators and specific results for simply connected, simple groups.
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1 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 1

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Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
IMSA

Eduardo Gonzalez- Quantum Cohomology, Seidel Elements, Shift Operators & Coulomb Branches

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Explore advanced mathematical concepts in quantum cohomology, Seidel elements, and Coulomb branches. Discover the interplay between equivariant cohomology and symplectic homology in Lie group manifolds.
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1 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

Simple Groups, Lie Groups, and the Search for Symmetry - Part 2

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Explores the evolution of group theory in mathematics, from number theory to symmetry in geometry, covering simple groups, tessellations, and Lie groups. Highlights key mathematical objects and the classification of finite simple groups.
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1 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

Central Polynumber Algebra and Baby Weyl Character Formula - Math Foundations 236

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Explores central polynumber algebra and Weyl character formula, focusing on SU(2) and SU(3) representations. Connects to particle physics and quaternions, emphasizing polynumbers over complex exponentials.
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1 Lesons
40 minutes
On-Demand
Free-Video
Insights into Mathematics

Central Polynumbers and SL(2)/SU(2) Characters - Math Foundations 235

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Explore a novel algebraic approach to SL(2) and SU(2) representation theory, emphasizing central polynumbers and mset arithmetic, with implications for Lie theory and modern physics.
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6 Lesons
35 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Lower Dimensional Betti Numbers of Homogeneous Spaces of Lie Groups

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Exploration of lower dimensional Betti numbers in homogeneous spaces of Lie groups, discussing mathematical techniques and applications in algebraic topology and differential geometry.
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1 Lesons
26 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Uniform Stability of Higher-rank Arithmetic Groups - Lecture 1

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Explore uniform stability in higher-rank arithmetic groups. Delve into advanced mathematical concepts and their applications in algebraic and differential geometry.
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1 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Classification, Reduction and Stability of Toric Principal Bundles

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Explore toric principal bundles' classification, reduction, and stability in this mathematical lecture, delving into advanced concepts in algebraic geometry and group theory.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

CSP and Unipotent Generators for Higher Rank Nonuniform Arithmetic Groups

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Exploration of CSP and unipotent generators in higher rank nonuniform arithmetic groups, discussing recent advancements and applications in algebraic and differential geometry.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Non-virtually Abelian Discontinuous Group Actions vs Proper SL(2,R)-Actions - Aleksy Tralle

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Explore non-virtually Abelian discontinuous group actions and proper SL(2,R)-actions in this advanced mathematics lecture, part of a program on Zariski dense subgroups and geometric applications.
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1 Lesons
47 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Central Extensions of Arithmetic Lattices by Matthew Stover

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Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Conjugacy Width in Higher Rank Arithmetic Groups of Orthogonal Type by Chen Meiri

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Explore conjugacy width in higher rank arithmetic groups of orthogonal type, examining its properties and implications for group theory and related mathematical fields.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
IMSA

Wobbly Fixed Points, Equivariant Multiplicities and U(p,q)-Higgs Bundles

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Explores geometry of Higgs bundle moduli spaces, focusing on nilpotent cone fixed points and their classification. Analyzes U(p,q)-Higgs bundles and compares results with equivariant multiplicities.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Higgs Bundles and the Topology of Higher Teichmüller Spaces

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Explore advanced mathematical concepts in topology, focusing on Higgs bundles and their role in understanding higher Teichmüller spaces for non-compact real Lie groups.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Positivity and Higher Teichmüller Spaces

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Explore positivity in Lie groups, positive representations, and their connected components. Delve into Hitchin's Teichmüller components and related open questions in higher Teichmüller theory.
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1 Lesons
1 hour
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Atiyah-Singer Index Theorem - An Overview

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Explore the Atiyah Singer Index Theorem, a groundbreaking result connecting differential equations, geometry, and topology, with insights from renowned mathematician M.S. Raghunathan.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Fields Institute

Multiple Horn Problem in Hamiltonian Geometry

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Explore the intricacies of the Multiple Horn problem in this mathematical lecture by Anton Alekseev, delving into advanced concepts in Hamiltonian geometry.
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1 Lesons
49 minutes
On-Demand
Free-Video
Fields Institute

The Equivariant Cohomology of Hamiltonian T-Spaces of Complexity One

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Explore equivariant cohomology in Hamiltonian T-spaces, focusing on complexity one systems and their geometric properties in this advanced mathematical lecture.
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1 Lesons
14 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 3

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Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Advanced mathematical concepts for researchers in geometry and topology.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 2

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Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Advanced mathematical concepts for researchers in geometry and related fields.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Equivariant Minimal Surfaces in Symmetric Spaces via Higgs Bundles - Lecture 1

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Explore equivariant minimal surfaces in symmetric spaces using Higgs bundles. Expert-led lecture delves into advanced mathematical concepts, ideal for researchers in differential geometry.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Anosov Representations and Proper Affine Actions

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Explore Anosov representations and proper affine actions in geometric group theory. Gain insights from expert Sourav Ghosh on this advanced mathematical topic.
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1 Lesons
44 minutes
On-Demand
Free-Video
Fields Institute

Measure Rigidity in Smooth Dynamics

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Explore measure rigidity in smooth dynamics with Alex Eskin, delving into advanced mathematical concepts and their applications in dynamical systems.
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1 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Symplectic Quotient Construction of Toric Manifolds

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Explore symplectic quotient construction in toric manifolds with Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
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1 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Lie Groupoids Determined by Their Orbit Spaces

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Explore how Lie groupoids are uniquely determined by their orbit spaces, delving into advanced concepts in Hamiltonian geometry and mathematical physics.
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1 Lesons
25 minutes
On-Demand
Free-Video
Fields Institute

Dynamical Systems Arising from the Classification of Geometric Structures

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Explore dynamical systems in geometric structure classification, delving into mathematical concepts and their applications in topology and geometry.
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1 Lesons
56 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Ulam Stability of Thompson Groups

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Explore Ulam stability of Thompson groups through asymptotic cohomology. Gain insights into this rigidity property for discrete groups and its application to groups F, T, and V.
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1 Lesons
40 minutes
On-Demand
Free-Video
Dublin Institute for Advanced Studies DIAS

Frame PB-Groupoid of a VB-Groupoid

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Explore properties of special principal bundles, focusing on frames of VB-groupoids and their relation to geometric connections and structures on Lie groupoids.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Semisimple Groups and the Theory of Total Positivity

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Explore semisimple groups and total positivity theory with MIT's George Lusztig, delving into advanced mathematical concepts and their applications in group theory.
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1 Lesons
47 minutes
On-Demand
Free-Video
Fields Institute

Derived Higher Lie Groupoids

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Explore advanced concepts in algebraic topology and differential geometry, focusing on derived higher Lie groupoids and their applications in Hamiltonian geometry.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Foliations on Homogeneous Varieties - Brazil-France School on Foliation Theory

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Explore foliations on homogeneous varieties in this advanced mathematical lecture from the Brazil-France School on Foliation Theory.
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1 Lesons
36 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Automorphisms of Rigid Geometric Structures à la Zimmer-Gromov

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Explore automorphisms of rigid geometric structures through Zimmer-Gromov's approach in this advanced mathematics lecture by Karin Melnick.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Random Processes on Symmetric Spaces and Discrete Subgroups

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Explore random processes on symmetric spaces and discrete subgroups with Mikolaj Fraczyk in this advanced mathematical conference talk.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Equivariant Formality and Reduction

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Explorez les concepts d'équivariance formelle et de réduction en mathématiques avancées avec Chiara Esposito dans cette conférence approfondie.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
NCCR SwissMAP

Exceptional Finite Groups of Lie Type and Their Primitive Actions

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Explore exceptional finite groups of Lie type and their primitive actions, delving into advanced group theory concepts and connections.
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1 Lesons
16 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Exponential Volumes in Geometry and Representation Theory

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Explore exponential volumes in geometry and representation theory, focusing on moduli spaces, hyperbolic structures, and Lie groups. Discover connections to Mirzakhani's recursions and Whittaker functions.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Conference GSI

Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups

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Explore variational integrators for stochastic Hamiltonian systems on Lie groups, gaining insights into advanced mathematical concepts and their applications.
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1 Lesons
27 minutes
On-Demand
Free-Video
Conference GSI

Geometry Preserving Lie Group Integrators for Differential Equations on the Manifold of Symmetric Matrices

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Explore Lie group integrators for differential equations on symmetric manifolds, preserving geometric properties in numerical solutions.
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1 Lesons
22 minutes
On-Demand
Free-Video
Global Noncommutative Geometry Seminar

Equivariant Local Index Theory for Lie Groupoids

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Explore equivariant local index theory for Lie groupoids, covering motivation, key concepts, and advanced mathematical techniques in noncommutative geometry.
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24 Lesons
56 minutes
On-Demand
Free-Video
Conference GSI

The Momentum Mapping of the Affine Real Symplectic Group

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Explore the momentum mapping of the affine real symplectic group, delving into its mathematical properties and applications in geometric analysis.
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1 Lesons
23 minutes
On-Demand
Free-Video
Conference GSI

Lie Group Quaternion Attitude Reconstruction of Quadrotor UAV

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Explore quaternion-based attitude reconstruction for quadrotor UAVs using Lie group theory, enhancing control and navigation capabilities.
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1 Lesons
28 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

On ODEs Satisfied by Modular Forms

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Explore ODEs satisfied by modular forms, their invariance under Lie groups, and associated algebraic curves. Extend results to Jacobi forms and examine examples from classical modular forms.
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9 Lesons
1 hour 1 minute
On-Demand
Free-Video
NCCR SwissMAP

Exponential Mixing of Frame Flows for Geometrically Finite Hyperbolic Manifolds

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Explore exponential mixing of frame flows in geometrically finite hyperbolic manifolds through advanced analytic techniques in dynamics and geometry.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Anosov Representations - Lecture 3

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Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry. Discover recent developments and potential research directions.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Local Mixing of Diagonal Flows on Anosov Homogeneous Spaces

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Explore local mixing of diagonal flows on Anosov homogeneous spaces, generalizing Winter's result and discussing applications in equidistribution and matrix coefficients.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Anosov Representations - Lecture 2

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Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry in this advanced mathematical lecture.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Divisible Convex Sets with Properly Embedded Cones

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Explore divisible convex sets, their theory, and new examples in projective geometry. Delve into connections with dynamical systems, geometric group theory, and Riemannian geometry.
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9 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Equidistribution of Periodic Tori

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Explore equidistribution of periodic tori in higher rank Lie groups, extending Bowen and Margulis' work on closed geodesics in hyperbolic surfaces.
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1 Lesons
1 hour
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Anosov Representations - Lecture 1

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Explore Anosov representations, their characterizations, and applications in convex projective geometry. Gain insights into recent developments and potential research directions.
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1 Lesons
1 hour
On-Demand
Free-Video
Stony Brook Mathematics

Uniform Volume Doubling and Functional Inequalities on Lie Groups

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Explore functional inequalities on Lie groups, focusing on uniform volume doubling and its implications for SU(2) and related structures. Gain insights into heat kernel estimates and measure contracting properties.
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1 Lesons
58 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Positivity, Representations, and Non-Commutative Hyperbolic Geometry

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Explore total positivity in matrices, its generalization to split real Lie groups, and a new notion of positivity in flag varieties with applications to higher Teichmüller spaces.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Logarithmic Sobolev Inequalities on Homogeneous Spaces

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Explore logarithmic Sobolev inequalities on homogeneous spaces with sub-Riemannian structures. Discover how constants depend on Lie group geometry and remain independent of dimension in certain cases.
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1 Lesons
48 minutes
On-Demand
Free-Video
Banach Center

Weyl's Character Formula

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Explore Weyl's Character Formula in mathematics, delving into its applications and significance in representation theory. Gain insights from expert Nigel Higson of Penn State University.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Random Subgroups - Lecture 1: Invariant Random Subgroups

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Explore the theory of invariant random subgroups (IRS) and its applications to lattices and asymptotic invariants in locally symmetric manifolds and discrete subgroups of Lie groups.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Random Subgroups - Lecture 3: Non-Invariant Random Subgroups

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Explore the theory of stationary random subgroups (SRS) and its applications to lattices and asymptotic invariants in Lie groups, expanding beyond invariant random subgroups (IRS).
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Poisson Structures on Character Varieties

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Explore Poisson structures on character varieties, examining maps between oriented surfaces and their impact on conjugacy classes of fundamental group representations into Lie groups.
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1 Lesons
40 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Smooth 2-Groups and Their Principal Bundles

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Explore smooth 2-groups and principal bundles in Lie groupoids. Learn about categorical generalizations of groups and their applications in mathematics.
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1 Lesons
46 minutes
On-Demand
Free-Video
BIMSA

Measure Rigidity Beyond Homogeneous Dynamics

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Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Stationary Random Subgroups and Injectivity Radius in Negative Curvature

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Explore stationary random subgroups and injectivity radius in negative curvature, focusing on rank one simple Lie groups and hyperbolic manifolds. Gain insights into recent theorems and their applications.
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1 Lesons
47 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dense Embeddings of Hyperbolic Manifold Groups

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Explore dense embeddings of hyperbolic manifold groups, focusing on amalgamated products and linear Lie groups. Learn strategies to control properties of output embeddings.
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1 Lesons
41 minutes
On-Demand
Free-Video
Banach Center

A Beautiful World Beyond Hyperbolic Geometry - Anosov Representations and Higher Teichmüller Spaces

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Explore advanced geometric concepts beyond hyperbolic geometry, delving into Anosov representations and higher Teichmüller spaces.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Banach Center

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 4

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Explore advanced concepts in spectral analysis and wave equations for sub-Laplacians, focusing on multipliers and their applications in mathematical physics.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Banach Center

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 2

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Explore advanced concepts in spectral multipliers and wave equations for sub-Laplacians, building on previous knowledge and delving into complex mathematical theories.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Thurston's Asymmetric Metric on Teichmüller Space Revisited

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Explore Thurston's asymmetric metric on Teichmüller space and its generalizations to higher-rank Lie groups, examining geometric and dynamical invariants of hyperbolic structures.
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1 Lesons
1 hour
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore vertex algebras derived from the Hull Strominger system in complex manifolds, delving into special holonomy and geometric structures. Gain insights into advanced mathematical concepts and their applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore cubic differentials and harmonic maps in asymptotic cones, delving into special holonomy and geometric structures on complex manifolds. Gain insights from expert John Loftin.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore complex manifolds, special holonomy, and geometric structures. Delve into relationships between differential, complex, and algebraic geometry, with applications in physics and symplectic geometry.
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1 Lesons
51 minutes
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Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore 3-(α, δ)-Sasaki manifolds and strongly positive curvature in complex geometry. Delve into special holonomy, geometric structures, and their connections to various mathematical fields.
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1 Lesons
58 minutes
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Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore non-Kähler manifolds through mapping tori in this advanced mathematics lecture, delving into special geometric structures, Lie group actions, and their connections to various mathematical fields.
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1 Lesons
49 minutes
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Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.
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1 Lesons
52 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds

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Explore Killing and Ricci-Hessian equations in (pseudo)Kähler geometry. Delve into special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
58 minutes
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Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
50 minutes
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Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.
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1 Lesons
52 minutes
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Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore special holonomy and geometric structures on complex manifolds, delving into Lie group actions, differential geometry, and connections to various mathematical fields.
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1 Lesons
1 hour 7 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.
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1 Lesons
55 minutes
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