Algebraic Geometry Courses and Certifications

BunG Seminar

Feigin-Frenkel Isomorphism and Vacuum Module Endomorphisms - Talk 23

Delve into the geometric interpretation of the Feigin-Frenkel isomorphism, exploring coordinate-free formulations and the relationship between vacuum module endomorphisms and opers.

• YouTube
• 2 hours 4 minutes
• Self-Paced
• Free Video

BunG Seminar

Dieudonne Theory - Classical Approach to Finite Group Schemes - Part 1

Dive into classical Dieudonne theory, exploring finite group flat schemes, p-divisible groups, and crystalline theory through detailed mathematical analysis and examples.

• YouTube
• 2 hours 6 minutes
• Self-Paced
• Free Video

BunG Seminar

The Stacks of n-Truncated Barsotti-Tate Groups - Part 4

Delve into advanced mathematical concepts of p-divisible groups and formal completions, exploring Eike Lau's research on truncated Barsotti-Tate groups.

• YouTube
• 2 hours 11 minutes
• Self-Paced
• Free Video

BunG Seminar

The Stacks of n-Truncated Barsotti-Tate Groups - Part 3

Delve into advanced algebraic geometry concepts focusing on n-smooth group schemes over F_p-schemes and their relationship with BT_n groups, exploring commutative structures and theoretical foundations.

• YouTube
• 2 hours 22 minutes
• Self-Paced
• Free Video

BunG Seminar

The Stacks of n-Truncated Barsotti-Tate Groups - Part 2

Delve into advanced algebraic geometry concepts, focusing on n-truncated Barsotti-Tate groups and n-smooth group schemes over F_p-algebras, with emphasis on their structural properties and relationships.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video

BunG Seminar

The Local and Global Hitchin Map - Talk 21

Delve into advanced mathematical concepts exploring Hamiltonian reduction, local and global Hitchin maps, and their applications in BunG framework and Hecke eigensheaf theory.

• YouTube
• 1 hour 53 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

BunG Seminar

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
• Self-Paced
• Free Video

BunG Seminar

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
• Self-Paced
• Free Video

BunG Seminar

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
• Self-Paced
• Free Video

BunG Seminar

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
• Self-Paced
• Free Video

BunG Seminar

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
• Self-Paced
• 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
• Self-Paced
• Free Video

BunG Seminar

The Harder-Narasimhan Filtration and Stability Conditions for Vector Bundles

Delve into the mathematical theory of stability conditions and Harder-Narasimhan filtration for vector bundles, exploring their applications in geometric invariant theory and moduli spaces.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

BunG Seminar

Algebraicity of BG and BunG - Talk 3

Delve into algebraic stacks theory, exploring classifying stack BG and Bun_{G,X}, with focus on GL_n groups and smooth projective curves, including Weil's automorphic interpretation.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video