Representation Theory Courses and Certifications

Institute for Advanced Study

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

Explore symmetry group representation theory and combinatorics, focusing on cycle notation, permutations, and linearization techniques for advanced mathematical analysis.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Representations of P-Adic Groups and Applications - Jessica Fintzen

Explore p-adic group representations, supercuspidal representations, and their applications in number theory with Jessica Fintzen's in-depth seminar on advanced mathematical concepts.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Fields Institute

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

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Fields Institute

The Fricke-Macbeath Curve and Triple Product L-Functions

Explore the geometry of the Fricke-Macbeath curve using triple product L-functions, connecting representation theory, geometry, and arithmetic in this advanced mathematical lecture.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Representations of P-Adic Groups and Hecke Algebras

Explore p-adic group representations and Hecke algebras, focusing on supercuspidal representations, Bernstein blocks, and their equivalence to depth-zero blocks through Hecke algebra isomorphisms.

• YouTube
• 1 hour
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Unique Factorization for Tensor Products of Parabolic Verma Modules by V. Sathish Kumar

Explore unique factorization in tensor products of parabolic Verma modules, advancing understanding in algebraic representation theory and infinite-dimensional Lie algebras.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Representation Theory in Infinite-Dimensional Algebras

Explore advanced representation theory concepts in this talk by Deniz Kus, covering algebraic and combinatorial methods in infinite-dimensional Lie algebras and quantum groups.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Big Ideas In Dynamics

Bowditch Representations and Dynamics on Character Varieties

Explore Bowditch Representations and dynamics on character varieties in this graduate-level mathematics pre-talk, delving into advanced concepts in topology and geometry.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Counting Representations of Fuchsian Groups Over Finite Fields

Delve into advanced mathematical concepts exploring representation theory of Fuchsian groups, character bounds, and their applications in high-dimensional classical groups and Zariski-dense subgroups.

• YouTube
• 1 hour
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

On Geometric Construction of Artin Representation

Explore Serre's conjecture on integer-valued functions and Q_l-rational representations of finite groups acting on regular local rings.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Swallowed Kashiwara Crystals by Accident

Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Localization Theory for Harish-Chandra Bimodules in Positive Characteristic

Delve into advanced algebraic group theory, exploring Harish-Chandra bimodules, equivariant coherent sheaves, and their connections to representation theory in positive characteristic mathematics.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

On the Left Adjoint of mod p Smooth Parabolic Induction

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

BunG Seminar

Representation Theory for Finite W-algebras

Delve into advanced representation theory, exploring Whittaker reduction, finite W-algebras, and their connection to Lie algebras through geometric and algebraic perspectives.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

BunG Seminar

Representation Theory of Affine Lie Algebras - Talk 22

Delve into advanced representation theory of affine Lie algebras, exploring central characters, Harish-Chandra homomorphism, Segal-Sugawara operators, and vertex operator algebras at critical level.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video