BunG Seminar Courses

The Geometric Satake Correspondence - Talk 20

Delve into the Geometric Satake Correspondence, exploring spherical perverse sheaves, affine Grassmannian geometry, and their connection to Langlands Dual Group representations in advanced mathematics.

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

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

Miraculous Duality and Applications to Eisenstein Series - Talk 18

Delve into advanced mathematical concepts of D-modules, self-duality, and Eisenstein series through an exploration of Bun_G stack properties and miraculous duality theorems.

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

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

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.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

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

Algebraic D-Modules: A Basic Review - Talk 12

Dive into the fundamentals of algebraic D-modules through a comprehensive review based on J. Bernstein's notes, exploring key concepts and theoretical foundations.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Derived Categories of Sheaves on Schemes and Prestacks - Talk 14

Delve into advanced sheaf theory concepts, exploring six-functor formalism, derived categories, and D-modules through an in-depth examination of prestacks and scheme applications.

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

Higher Category Theory: DG Categories and Homological Algebra Applications - Talk 13

Dive into higher category theory fundamentals, exploring DG categories and their applications in homological algebra through expert insights and practical examples.

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

Compact Generation of D-modules on BunG - Talk 15

Delve into advanced mathematical concepts of D-modules on Bun_G, exploring compact generation, DG categories, and applications in algebraic geometry through detailed theoretical analysis.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Uniformization of Principal Bundles - Talk 8

Delve into advanced algebraic geometry concepts exploring uniformization maps, affine Grassmannians, and principal G-bundles over complex projective curves with expert Minh-Tâm Trinh.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

Geometric Contractiveness of the Harder-Narasimhan Stratification in BunG - Talk 10

Delve into the geometric contractiveness of Harder-Narasimhan stratification and its implications for D-modules on BunG, exploring behavior at infinity and quasi-compact properties.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

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

Introduction to Stacks and Principal G-Bundles in Algebraic Geometry - Talk 1

Dive into algebraic stacks theory and principal G-bundles on algebraic curves, exploring their moduli stack properties and connections to geometric representation theory.

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

Moduli of G-bundles as a Quotient by the Gauge Group - Talk 6

Delve into complex geometric theory of holomorphic G-bundles, exploring connections, gauge transformations, and symplectic quotients through the Kempf-Ness Theorem and Yang-Mills functional analysis.

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

The Affine Grassmannian and Geometric Satake - Talk 7

Delve into advanced mathematical concepts of affine Grassmannian and its geometric properties through an in-depth seminar by renowned mathematician Ngô Bảo Châu.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video