Representation Theory Courses and Certifications

Representation Theory of Finite Groups

Explore abstract algebraic structures through linear transformations of vector spaces, focusing on finite groups with character theory, Schur's lemma, and symmetric group representations.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Institute for Advanced Study

Representation Theory and Combinatorics of the Symmetry Group and Related Structures - 2021 Women and Mathematics

Explore advanced representation theory, categorification, and combinatorics of symmetry groups through expert lectures from leading mathematicians at this intensive workshop.

• YouTube
• 8 hours 59 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Workshop on Representation Theory and Geometry

Explore advanced topics in representation theory and geometry through expert lectures on symplectic resolutions, Langlands functoriality, and algebraic groups.

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

Institute for Pure & Applied Mathematics (IPAM)

Symmetric Tensor Categories and Representation Theory

Explore advanced symmetric tensor categories and their applications in representation theory, Lie superalgebras, and algebraic structures through expert lectures and collaborative research.

• YouTube
• 20 hours 55 minutes
• On-Demand
• Free Video

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

Fields Institute

Theta Series - Representation Theory, Geometry, and Arithmetic

Explore advanced topics in theta series connecting representation theory, algebraic geometry, and arithmetic through lectures on modular forms, Shimura varieties, and L-functions.

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

Hausdorff Center for Mathematics

Connections Between Representation Theory and Geometry - Winter School

Explore advanced connections between representation theory and geometry through A-infinity structures, Fukaya categories, and homological mirror symmetry techniques.

• YouTube
• 15 hours 27 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Categorification, Representation Theory and Symplectic Geometry

Explore advanced mathematical connections between categorification, representation theory, and symplectic geometry through expert lectures on Hilbert schemes, Fukaya categories, and KLR algebras.

• YouTube
• 15 hours 14 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

Hausdorff Center for Mathematics

Lucas Mann- Representation Theory via 6-Functor Formalisms

Explore abstract 6-functor formalisms and their application to representation theory of locally profinite groups, shedding light on classical results and p-adic Lie group representations.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Simons Institute

Representation Theory in TCS and Extremal Combinatorics

Explore how Representation Theory extends Boolean function theory, leading to new insights in theoretical computer science and extremal combinatorics.

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

International Mathematical Union

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

Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.

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

QuantumTopology

TFTs with Defects and Representation Theory

Explore topological field theories with defects and their connections to representation theory in this advanced physics lecture by Christoph Schweigert.

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

Hausdorff Center for Mathematics

Representation Theory for Groups of Lie Type I

Explore representation theory for finite groups of Lie type, covering structural properties, Harish-Chandra theory, and Deligne-Lusztig theory for classifying irreducible complex representations.

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

BIMSA

Total Positivity: Combinatorics, Geometry and Representation Theory

Explore total positivity theory in matrices, its applications, and recent developments in combinatorics, geometry, and representation theory.

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