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

Galileo Galilei Institute

Quivers and Cohomological Hall Algebras - Lecture 3

Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into complex mathematical structures and their applications in algebraic geometry.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Quivers and Cohomological Hall Algebras - Lecture 2

Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into their intricate connections and applications in algebraic geometry and representation theory.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Prague Mathematical Physics Seminar

Invariants of Special Linear Supergroup SL(r|s)

Explore the mathematical intricacies of invariants in the Special Linear Supergroup SL(r|s) with expert insights and advanced theoretical discussions.

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

Dublin Institute for Advanced Studies DIAS

Group Representations on 2D Topological Quantum Field Theories

Explore group representations in 2D topological quantum field theories, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Fields Institute

Commutative Algebra to Representation Theory Through the Combinatorics of Filtered RSK

Explore connections between commutative algebra and representation theory via combinatorial analysis of filtered Robinson-Schensted-Knuth algorithm.

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

Institute for Pure & Applied Mathematics (IPAM)

Tannakian Formalism for Stacks

Explores Tannakian formalism for stacks, discussing representation categories of affine group schemes and characterizing symmetric monoidal Grothendieck categories equivalent to quasi-coherent sheaves on stacks.

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

Institute for Pure & Applied Mathematics (IPAM)

Representations of General Linear Groups in the Verlinde Category

Exploration of representations of general linear groups in the Verlinde category, discussing known aspects, highest weight structure, and open questions in this area of symmetric tensor categories.

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

Institute for Pure & Applied Mathematics (IPAM)

Growth in Tensor Powers - Representation Theory

Explores growth patterns in tensor powers of group representations, introducing a new invariant and its properties using tensor category theory.

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

Institute for Pure & Applied Mathematics (IPAM)

Growth and Tensor Products in Representation Theory - Lecture 1

Explore asymptotic counting of summands in tensor products of representations, with numerous examples to illustrate concepts in symmetric tensor categories and representation theory.

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

Institute for Pure & Applied Mathematics (IPAM)

Support Varieties and the Tensor Product Property - Lecture

Explore support varieties in representation theory, focusing on tensor product properties and indecomposable periodic objects. Discover applications in finite groups and tensor categories.

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

Institute for Pure & Applied Mathematics (IPAM)

G-modules: Stable Categories and Subcoalgebras - Lecture on Affine Group Scheme Representations

Explore affine group scheme representations, stable module categories, and support theory for G-modules. Discover filtrations associated with subcoalgebras of coordinate algebras in this advanced mathematics lecture.

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

Institute for Pure & Applied Mathematics (IPAM)

Stable Module Category for Finite Group Schemes over Commutative Noetherian Rings

Explore finite group schemes, tensor triangular analysis, and Balmer spectrum calculations in stable module categories, based on recent advancements in cohomology and representation theory.

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

Institute for Pure & Applied Mathematics (IPAM)

Symmetric Functions: Foundations and Applications in Combinatorics - Part 1

Explore symmetric functions in algebraic combinatorics, representation theory, and statistical mechanics. Learn formulas, combinatorial models, and key properties with applications and open problems.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video