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#Representation Theory

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Instituto de Matemática Pura e Aplicada

Finite Irreducible Modules over the Conformal Superalgebras K4 and CK6

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Explore finite irreducible modules over conformal superalgebras K4 and CK6. Gain insights into advanced algebraic concepts and their applications in mathematical research.
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1 Lesons
26 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Representations of Reductive Groups Over Local and Global Fields

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Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institute for Advanced Study

Representation Theory & Combinatorics of the Symmetry Group and Related Structures - Monica Vazirani

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Explore symmetry group representation theory and combinatorics, focusing on cycle notation, permutations, and linearization techniques for advanced mathematical analysis.
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8 Lesons
56 minutes
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Free-Video
Institute for Advanced Study

The Affine Hecke Category Is a Monoidal Colimit - James Tao

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Explore the affine Hecke category's structure as a monoidal colimit, delving into geometric and modular representation theory with expert James Tao from MIT.
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17 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Institute for Advanced Study

Representations of P-Adic Groups and Applications - Jessica Fintzen

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Explore p-adic group representations, supercuspidal representations, and their applications in number theory with Jessica Fintzen's in-depth seminar on advanced mathematical concepts.
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9 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

On the Left Adjoint of mod p Smooth Parabolic Induction

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Delve into advanced mathematical concepts exploring parabolic induction functors, focusing on left adjoint properties and their behavior with algebraic weights in p-adic field extensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Localization Theory for Harish-Chandra Bimodules in Positive Characteristic

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Delve into advanced algebraic group theory, exploring Harish-Chandra bimodules, equivariant coherent sheaves, and their connections to representation theory in positive characteristic mathematics.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Landau-Ginzburg Potentials via Projective Representations in Cluster Varieties

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Explore Landau-Ginzburg potentials' connection to cluster varieties and projective representations, unraveling their role in algebraic groups and representation theory.
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13 Lesons
45 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

Reticulados, Álgebras e Moonshine - Palestra Especial 2023

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Explore a teoria de representações com foco em reticulados, álgebras e moonshine nesta palestra especial ministrada por Jethro Van Ekeren.
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1 Lesons
53 minutes
On-Demand
Free-Video
BIMSA

Category of SET Orders - Representation Principle for Symmetry Enriched Topological Orders

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Explore the representation principle for symmetry enriched topological orders, covering defects, boundaries, symmetry charges, and generalized gauging in physical systems.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Categorification at Roots of Unity

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Explorez la catégorification des groupes quantiques aux racines de l'unité, en examinant les algèbres p-DG et les représentations catégoriques pour sl(2).
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Categorifying Connections in Fusion Categories and Subfactors

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Traduisez les idées principales de la théorie des paragroupes d'Ocneanu en langage catégorique tensoriel. Explorez les liens entre catégories de fusion et sous-facteurs.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Weyl Algebras for Quantum Homogeneous Spaces and Applications

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Explore quantum analogues of differential operators on symmetric spaces, examining Capelli operators and their connection to Macdonald polynomials in representation theory.
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1 Lesons
49 minutes
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Centre de recherches mathématiques - CRM

Quasi-Universal Sheaves and Generic Modules

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Explorez les sheaves quasi-universels et les modules génériques dans le contexte de la théorie des représentations et de l'algèbre non commutative. Approfondissez les applications aux algèbres de dimension finie.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

R-matrices for the Category O of Quantum Loop Algebras

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Explore R-matrices for quantum loop algebras' category O, examining a functor relating Uq(g) and Uh(g) categories, and analyzing resulting R-matrices' properties and factorization.
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1 Lesons
35 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Heisenberg Homology of Surface Configurations

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Explore Heisenberg group representations on surface configurations, examining homologies, Mapping Class Group actions, and quantum connections in mathematical research.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Braided Fusion Categories - Lecture 3

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Explore semisimple braided tensor categories, their structure, and classification. Delve into centralizers, non-degeneracy, equivariantizations, and the core of braided fusion categories.
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1 Lesons
53 minutes
On-Demand
Free-Video
CIMPA UCR

Una Introducción a las Álgebras de Vértices y sus Representaciones

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Explora las álgebras de vértices y sus representaciones, adentrándote en conceptos fundamentales y aplicaciones avanzadas en matemáticas teóricas.
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1 Lesons
47 minutes
On-Demand
Free-Video
CIMPA UCR

Álgebras de Configuración de Brauer y sus Aplicaciones en Criptografía y Ciencias

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Explora las álgebras de configuración de Brauer, su origen y aplicaciones en criptografía, ecuaciones de Yang-Baxter, teoría de grafos y optimización combinatoria.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
CIMPA UCR

Representaciones de Álgebras y Física Matemática

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Explora las álgebras de vértices, sus representaciones y conexiones con la física matemática. Aborda resultados recientes, problemas abiertos y reformulaciones en álgebras de Lie.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Khovanov-Seidel Braids Representation

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Explore Khovanov-Seidel braids representation in this mathematical conference talk. Gain insights into current trends in representation theory, cluster algebras, and geometry.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Galois Representations and Statistics - Lecture 1

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Explore Galois representations and statistics in arithmetic through an advanced mathematical lecture by René Schoof.
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1 Lesons
1 hour
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Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 18

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Explore conceitos avançados de Álgebras de Lie em nível de doutorado, aprofundando-se na teoria matemática e suas aplicações.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 17

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Explore conceitos avançados de Álgebras de Lie em nível de doutorado, aprofundando-se na teoria matemática com o Professor Jethro Van Ekeren.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 26

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Explore advanced concepts in Lie Algebras, focusing on doctoral-level topics and theoretical foundations in this comprehensive lecture by Jethro Van Ekeren.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 25

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Explore conceitos avançados de Álgebras de Lie em uma aula de doutorado ministrada por Jethro Van Ekeren, aprofundando o conhecimento em matemática pura.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 22

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Explore advanced concepts in Lie Algebras, focusing on doctoral-level topics and theoretical foundations in this comprehensive lecture by Jethro Van Ekeren.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 20

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Explore conceitos avançados de Álgebras de Lie em uma aula de doutorado ministrada por Jethro Van Ekeren, aprofundando o conhecimento em matemática pura.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Introdução às Álgebras de Lie - Aula 19

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Explore conceitos avançados de Álgebras de Lie em nível de doutorado, aprofundando-se na teoria matemática com o Professor Jethro Van Ekeren.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Simons Institute

The Platonic Representation Hypothesis - Understanding Lower-Level Intelligence

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Explore the concept of Platonic representation in AI, psychology, and neuroscience, examining its implications for understanding lower-level intelligence across disciplines.
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1 Lesons
44 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Universes as Bigdata- From Geometry, to Physics, to Machine-Learning

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Explore the intersection of string theory, geometry, and machine learning in physics, examining how AI aids mathematical research across various fields.
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1 Lesons
58 minutes
On-Demand
Free-Video
BunG Seminar

The Geometric Satake Correspondence - Talk 20

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Delve into the Geometric Satake Correspondence, exploring spherical perverse sheaves, affine Grassmannian geometry, and their connection to Langlands Dual Group representations in advanced mathematics.
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1 Lesons
2 hours
On-Demand
Free-Video
BunG Seminar

Cuspidal Hecke Eigensheaves via Localization - Talk 19

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Delve into advanced mathematical concepts exploring Beilinson-Drinfeld's construction of cuspidal Hecke eigensheaves and their relationship with Kac-Moody representations.
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1 Lesons
2 hours 7 minutes
On-Demand
Free-Video
BunG Seminar

Geometric Eisenstein Series and Constant Term Functors in Geometric Langlands - Talk 17

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Delve into geometric Eisenstein series and constant term functors, exploring their role in the geometric Langlands program through foundational results and Braden's theorem applications.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
BunG Seminar

Algebraic D-Modules: A Basic Review - Talk 12

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Dive into the fundamentals of algebraic D-modules through a comprehensive review based on J. Bernstein's notes, exploring key concepts and theoretical foundations.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
BunG Seminar

The Affine Grassmannian and Geometric Satake - Talk 7

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Delve into advanced mathematical concepts of affine Grassmannian and its geometric properties through an in-depth seminar by renowned mathematician Ngô Bảo Châu.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Tobias Osborne

Symmetries and Quantum Mechanics: Class Functions and Number of Irreducible Representations - Lecture 7

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Explore the fundamental concepts of group representation theory in quantum mechanics, focusing on class functions and irreducible representation enumeration.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Tobias Osborne

Symmetries and Quantum Mechanics: Irreducible Representations, Characters, and Schur's Lemma

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Delve into advanced quantum mechanics concepts, exploring group representation theory, irreducible representations, characters, and Schur's lemma in theoretical physics applications.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Insights into Mathematics

The One Dimensional Random Walk Hypergroup - Diffusion Symmetry

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Explore affine transformations, representation theory, and random walks on a 1D lattice. Learn about hypergroups and calculate probabilities in this advanced mathematics lecture.
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10 Lesons
29 minutes
On-Demand
Free-Video
Insights into Mathematics

Change of Basis and Taylor Coefficient Vectors - Wild Linear Algebra A - NJ Wildberger

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Explore change of basis, vatrices, and Taylor coefficients in linear algebra. Novel framework connects coordinate vectors to calculus applications, featuring generalized Pascal matrices.
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11 Lesons
51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

GAP Installation and Practical Introduction - Lecture 2

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Practical introduction to GAP software for group theory computations, covering installation, basic commands, and exercises on symmetric groups, conjugacy classes, and finite group enumeration.
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11 Lesons
23 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi

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Explore knot polynomials, Chern-Simons theory, and string theory connections. Learn about knot classification, invariants, homology, and gauge-string duality in topological strings. Discover M-theory descriptions and brane constructions.
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56 Lesons
1 hour 11 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

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Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.
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19 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Learning How to Break Symmetry With Symmetry-Preserving Neural Networks - IPAM at UCLA

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Explore symmetry-preserving neural networks for data efficiency and generalization, learning symmetry-breaking information, and predicting structural distortions in crystalline materials.
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31 Lesons
1 hour
On-Demand
Free-Video
International Mathematical Union

Atsushi Ichino- Theta Lifting and Langlands Functoriality

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Explore theta lifting, seesaw identities, and Langlands functoriality in number theory, focusing on modular forms and local Shimura-Waldspurger correspondence.
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7 Lesons
44 minutes
On-Demand
Free-Video
International Mathematical Union

Character Estimates for Finite Simple Groups and Applications

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Explore character estimates for finite simple groups and their applications in various mathematical problems, including mixing times, Waring's Problem, and conjectures by Ore and Thompson.
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18 Lesons
45 minutes
On-Demand
Free-Video
International Mathematical Union

Allen Knutson- Schubert Calculus and Quiver Varieties

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Explore Schubert calculus, quiver varieties, and their connections through puzzle rules, Yang-Baxter equations, and representation theory in this advanced mathematics lecture.
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14 Lesons
30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Cyclotomic KLR Algebras - Part 1 of 4

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Exploring cyclotomic KLR algebras, their connection to quantum groups, and their role in categorifying highest weight representations, with a focus on type A and the Ariki–Brundan–Kleshchev theorem.
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13 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Drinfeld Center, Tube Algebra, and Representation Theory of Monoidal Categories

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Explore connections between category theory, subfactor theory, and quantum groups. Learn about Drinfeld center, tube algebra, and representation theory of monoidal categories.
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13 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Representation Theory for Groups of Lie Type I

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Explore representation theory for finite groups of Lie type, covering structural properties, Harish-Chandra theory, and Deligne-Lusztig theory for classifying irreducible complex representations.
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15 Lesons
52 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Skew-Gentle Algebras and Surface Orbifolds, Claire Amiot

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Explore skew-gentle algebras and their geometric models in derived categories, extending concepts from gentle algebras to skew-group algebras. Joint work with Thomas Brüstle.
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10 Lesons
1 hour 6 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Spectral Graph Theory - Lecture 1

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Explore spectral graph theory, covering self-adjoint matrices, Rayleigh equalities, graph isomorphism, Cayley graphs, and automorphism groups. Gain insights into complex systems and network analysis.
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14 Lesons
1 hour 31 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Representations of Acyclic Quivers and Auslander-Reiten Sequences - Lecture 1

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Explore representations of acyclic quivers, Auslander-Reiten sequences, and the Caldero-Chapoton formula in this advanced mathematics lecture on cluster algebras and quiver representations.
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14 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Fields Institute

Foliations on Shimura Varieties

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Explore foliations on Shimura varieties, focusing on inseparable morphisms, characteristic P, and applications to surfaces and general cases in algebraic geometry.
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11 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Fields Institute

Dichotomy and Howe Duality for Exceptional Theta Correspondences

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Explore exceptional theta correspondences, focusing on Howe duality for G_2 x H pairs and a dichotomy theorem. Gain insights into local data correspondence, constraints, and reductive periods.
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13 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Fields Institute

Eisenstein Cocycles and Values of L-Functions

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Explore Eisenstein cocycles, equivariant cohomology, and their applications to L-functions. Gain insights into recent constructions and their connections to theta kernels and arithmetic groups.
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16 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Ramification of Supercuspidal Parameters

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Explore supercuspidal parameters in representation theory, focusing on local Langlands conjecture, Fargues-Scholze theory, and applications to automorphic forms and wild ramification.
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22 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Harish-Chandra Tempered Representations and Homogeneous Spaces by Yves Benoist

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Explore Harish-Chandra tempered representations and homogeneous spaces with Yves Benoist in this interactive lecture. Engage with the speaker and deepen your understanding of advanced mathematical concepts.
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1 Lesons
49 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Homotopy Coherence - Theme and Variations

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Explore homotopy coherence theory's evolution, applications, and links to representation theory in this semi-historical survey, offering unique insights and connections in algebraic topology.
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1 Lesons
54 minutes
On-Demand
Free-Video
IMSA

A Local Version of HMS for Parabolic Hitchin Space

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Exploring coherent sheaves on Springer fibers and their relation to microlocal sheaves, with applications to mirror duality in parabolic Hitchin spaces.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions

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Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Homological Link Invariants from Floer Theory

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Explore a groundbreaking connection between homological mirror symmetry and representation theory, solving the knot categorification problem and generalizing Heegard-Floer theory to simple Lie superalgebras.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Perverse Sheaves on Varieties with Large Fundamental Group

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Explore perverse sheaves on Kähler manifolds, focusing on a generalization of the Singer-Hopf conjecture and its proof using Shafarevich conjecture ideas. Joint work with Donu Arapura presented.
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1 Lesons
52 minutes
On-Demand
Free-Video
International Mathematical Union

Representations of Reductive Groups Over Local Fields

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Explore reductive group representations over local fields with Tasho Kaletha, delving into advanced mathematical concepts and their applications in algebraic number theory.
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1 Lesons
43 minutes
On-Demand
Free-Video
International Mathematical Union

Joel Kamnitzer- Perfect Bases in Representation Theory- Three Mountains and Their Springs

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Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.
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1 Lesons
41 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Classification of Modular Fusion Categories - Part 1 of 2 - IPAM at UCLA

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Explore unitary modular tensor categories and their role in classifying topological phases of matter, covering known results, open problems, and techniques from various mathematical fields.
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1 Lesons
57 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Orbit Method, Microlocal Analysis and Applications to L-Functions

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Explore quantitative orbit method in microlocal analysis, its applications to representation theory, and implications for L-functions, including moment estimates and subconvex bounds.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.
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1 Lesons
45 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Ambidexterity I by Neil Strickland

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Explore duality phenomena in algebraic topology, commutative algebra, and modular representation theory. Learn about derived categories, triangulated structures, and Grothendieck duality theory in this advanced mathematics lecture.
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1 Lesons
1 hour 41 minutes
On-Demand
Free-Video
IMSA

On Some Fans and Toric Varieties Related to Branching Laws for Reductive Groups

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Explore algebraic group embeddings and their representation theory through Geometric Invariant Theory, focusing on H-invariant vectors and the GIT-fan's role in encoding information.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Fields Institute

The Fricke-Macbeath Curve and Triple Product L-Functions

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Explore the geometry of the Fricke-Macbeath curve using triple product L-functions, connecting representation theory, geometry, and arithmetic in this advanced mathematical lecture.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Fields Institute

Akshay Venkatesh: The Great Connector - Fields Medal Symposium 2022

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Explore Akshay Venkatesh's groundbreaking work connecting diverse mathematical fields and his insights on the evolving nature of mathematical research in the digital age.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Fields Institute

Embedding DM Stacks into GIT Quotient Stacks of Linear Representations

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Explore the embedding of Deligne-Mumford stacks into geometric invariant theory quotient stacks, focusing on linear representations in algebraic geometry.
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1 Lesons
22 minutes
On-Demand
Free-Video
Fields Institute

Eisenstein Series and the Cohomology of Congruence Groups

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Explore the interplay between Eisenstein series and congruence group cohomology in this advanced mathematical lecture by Joachim Schwermer, delving into representation theory, geometry, and arithmetic.
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1 Lesons
55 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Distinguishing Groups and the Group Isomorphism Problem

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Explore the scale function in totally disconnected, locally compact groups, its computation methods, and the challenges in obtaining representations for certain groups. Insights into group theory and isomorphism problems.
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1 Lesons
56 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Raf Bocklandt: Deforming Dimers

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Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Martina Lanini- Attractive Forests and Torus Actions

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Explore quiver representations, torus actions on quiver Grassmannians, and their applications in algebraic geometry, focusing on attractive forests and nilpotent representations of equioriented cycles.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Categorified Double Centraliser Theorem and Applications to Soergel Bimodules

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Explore advanced representation theory concepts, including categorified double centraliser theorem and its applications to Soergel bimodules in finite Coxeter type and characteristic zero.
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1 Lesons
1 hour 3 minutes
On-Demand
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Hausdorff Center for Mathematics

Monica Vazirani- Representations of the Affine BMW Category

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Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.
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1 Lesons
1 hour 7 minutes
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Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

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Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
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1 Lesons
1 hour 13 minutes
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Hausdorff Center for Mathematics

Quiver Moduli and Applications

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Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.
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1 Lesons
1 hour 22 minutes
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Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

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Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020 - Quiver Moduli and Applications

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Explore quiver moduli spaces' construction, topology, and geometry, with focus on cohomology and applications to Gromov-Witten and Donaldson-Thomas theories via wall-crossing.
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1 Lesons
1 hour 15 minutes
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Free-Video
Hausdorff Center for Mathematics

Felix Klein Lectures 2020- Quiver Moduli and Applications

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Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.
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1 Lesons
1 hour 16 minutes
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Hausdorff Center for Mathematics

A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll Lecture 3

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Explore geometric models for bounded derived categories of gentle algebras, their role in cluster algebras and homological mirror symmetry, and connections to partially wrapped Fukaya categories.
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1 Lesons
1 hour 8 minutes
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Hausdorff Center for Mathematics

A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll Lecture 2

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Explore geometric models for bounded derived categories of gentle algebras, focusing on their role in cluster algebras and homological mirror symmetry. Learn about line fields and derived invariants.
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1 Lesons
1 hour 3 minutes
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Hausdorff Center for Mathematics

An Introduction to Modified Traces - Jonathan Kujawa

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Explore fundamental invariants in representation theory, focusing on modified traces as replacement invariants in non-semi-simple settings. Learn basic properties and applications.
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1 Lesons
1 hour 18 minutes
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Hausdorff Center for Mathematics

A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll

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Explore geometric models for gentle algebras' derived categories, connecting algebra to surface topology and line fields. Gain insights into representation theory and homological mirror symmetry.
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1 Lesons
1 hour 6 minutes
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Hausdorff Center for Mathematics

Introduction to A-Infinity Structures - Bernhard Keller

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Explore A-infinity algebras, modules, and derived categories. Learn about topological origins, minimal models, and twisted objects in this advanced mathematics lecture.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

An Introduction to Modified Traces

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Explore fundamental invariants in representation theory, focusing on modified traces as replacement invariants in non-semi-simple settings. Learn basic properties and applications through examples.
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1 Lesons
1 hour 14 minutes
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Free-Video
Hausdorff Center for Mathematics

Introduction to A-Infinity Structures - Bernhard Keller

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Explore A-infinity algebras, modules, and derived categories. Learn about topological origins, minimal models, and twisted objects in this advanced mathematical lecture.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Introduction to A-Infinity Structures - Bernhard Keller

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Explore A-infinity algebras, their modules, and derived categories. Learn about topological origins, definitions, morphisms, bar construction, and Kadeishvili's theorem on minimal models.
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1 Lesons
1 hour 9 minutes
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