Kac-Moody Algebra Courses and Certifications

BIMSA

Large N of Chern-Simons Matrix Model and Conformal Field Theory

Explore the emergence of 1+1D conformal field theory from large N limit of 2+1D Chern-Simons matrix models, including Kac-Moody algebra and holographic duality.

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

Centre de recherches mathématiques - CRM

Embeddings of Kac-Moody Affine Grassmannian Slices

Explorez les développements récents dans la théorie des représentations géométriques, en se concentrant sur les tranches de Grassmanniennes affines de type Kac-Moody et leur construction via les branches de Coulomb.

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

Dublin Institute for Advanced Studies DIAS

An Overview of the E11 Program in String Theory and Supergravity

Explore E11 Kac-Moody symmetry in string theory, its relation to supergravity, and implications for extended spacetime. Delve into recent applications in four-dimensional gravity and open questions.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

BunG Seminar

Introduction to Vertex Algebras - From Heisenberg to Virasoro Algebras

Delve into vertex algebras, exploring Heisenberg, Kac-Moody, and Virasoro structures while understanding their connections to affine W-algebras and Zhu algebra fundamentals.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

BunG Seminar

Hecke Eigensheaves via Chiral Homology - Talk 26

Delve into advanced mathematical concepts exploring Hecke eigensheaves through chiral homology, examining the quantized global Hitchin fibration and Kac-Moody localization applications.

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

BunG Seminar

Cuspidal Hecke Eigensheaves via Localization - Talk 19

Delve into advanced mathematical concepts exploring Beilinson-Drinfeld's construction of cuspidal Hecke eigensheaves and their relationship with Kac-Moody representations.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video

BunG Seminar

Conformal Blocks and Geometry of BunG - Talk 16

Delve into advanced mathematical concepts connecting conformal field theory with Bun_G geometry, exploring conformal blocks, Kac-Moody algebras, and non-abelian theta functions.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

BunG Seminar

Infinitesimal Structure of BunG and Jet Spaces - Talk 11

Delve into advanced mathematical concepts exploring jet spaces, principal G-bundles, and conformal blocks for Kac-Moody algebras through an in-depth analysis of BunG's infinitesimal structure.

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

Fields Institute

On Modular Representations of Affine Lie Algebras

Delve into modular representations of affine Lie algebras with Gurbir Dhillon in this Fields Institute seminar exploring advanced mathematical concepts.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Extensions of Vertex Operator Algebras and Applications to Integrable Systems II

Explore advanced vertex operator algebra extensions and their connections to quantum groups, integrable systems, and the geometric Langlands program through tensor category techniques.

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

Centre de recherches mathématiques - CRM

Extensions of Vertex Operator Algebras and Applications to Integrable Systems I

Explore vertex operator algebra extensions and their deformations, connecting quantum groups, tensor categories, and integrable systems with applications to critical level algebras.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

BIMSA

Symmetry-Resolved Entanglement in AdS and BCFT

Explore the refinement of entanglement entropy in theories with global conserved charges, examining symmetry-resolved entanglement in AdS3/CFT2, equipartition properties in U(1) Kac-Moody symmetry, and BCFT techniques.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 4

Explore cohomological Hall algebras of 2-Calabi-Yau categories and their applications in algebraic geometry and representation theory. Gain insights into enumerative geometry and Kac-Moody algebras.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 3

Explore cohomological Hall algebras of 2-Calabi-Yau categories and their applications in algebraic geometry and representation theory. Gain insights into enumerative geometry and Kac-Moody algebras.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 2

Explore cohomological Hall algebras in 2-Calabi-Yau categories, focusing on geometric constructions of generalized Kac-Moody algebras and their applications in algebraic geometry and representation theory.

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