BunG Seminar Courses

Overview of Restricted Geometric Langlands Theory

Delve into categorical formulations of geometric Langlands theory, exploring restricted local systems, their applications in arithmetic, and connections to automorphic forms through Frobenius traces.

• YouTube
• 2 hours 5 minutes
• Self-Paced
• Free Video

Counting Points on Bun_G - Talk 35

Delve into advanced algebraic geometry as Matthew Emerton explores G-L trace formula for Bun_G, providing a detailed proof of Conjecture 8 from Lurie's earlier lectures.

• YouTube
• 1 hour 46 minutes
• Self-Paced
• Free Video

Moduli Spaces in p-adic Non-abelian Hodge Theory

Delve into p-adic non-abelian Hodge theory through geometric moduli spaces, exploring Higgs bundles, pro-étale vector bundles, and their relationships to Simpson correspondence.

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

Non-Abelian Poincaré Duality - Talk 33

Delve into non-abelian Poincaré duality, exploring its relationship between l-adic homology of BunG and Beilinson-Drinfeld Grassmannian, featuring Drinfeld's simplified proof approach.

• YouTube
• 1 hour 48 minutes
• Self-Paced
• Free Video

Grothendieck-Lefschetz Formula and Gaitsgory-Lurie Product Formula for BunG

Delve into advanced algebraic geometry concepts exploring Tamagawa number conjecture, Grothendieck-Lefschetz formula, and Gaitsgory-Lurie's product formula for computing étale cohomology of Bun_G.

• YouTube
• 1 hour 51 minutes
• Self-Paced
• Free Video

Chiral Koszul Duality in Holomorphic Factorization Algebras - Talk 31

Delve into holomorphic factorization algebras, exploring their relationship with topological counterparts and the connections between definitions through (co)operads theory.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

On the Prismatization of the Field with One Element

Delve into advanced mathematical concepts of prismatic cohomology and its relationship to the theoretical field with one element, exploring geometric and arithmetic implications.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

E_n Algebras and Their Applications to Verdier and Non-abelian Poincare Duality

Delve into E_n-algebras, exploring their fundamental properties, infinity-operads, and connections to Verdier duality and non-abelian Poincare duality in advanced mathematics.

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

Localizing Motives, Algebraic KK-Theory and Refined Negative Cyclic Homology

Delve into advanced algebraic geometry concepts exploring localizing motives, their rigidity properties, and applications in refined negative cyclic homology and topological cyclic homology.

• YouTube
• 2 hours 29 minutes
• Self-Paced
• Free Video

Commutation of K-theory with Inverse Limits in Adic Spaces

Delve into advanced K-theory concepts, exploring nuclear modules, inverse limits, and Mittag-Leffler sequences in the context of adic spaces and condensed mathematics.

• YouTube
• 2 hours 1 minute
• Self-Paced
• Free Video

Localizing Invariants of Large Categories: General Theory

Delve into advanced algebraic K-theory concepts, exploring dualizable stable categories, continuous K-theory applications, and their relationship with sheaf categories on Hausdorff spaces.

• YouTube
• 2 hours 16 minutes
• Self-Paced
• Free Video

Higher Algebra and Koszul Duality - Talk 28

Delve into advanced mathematical concepts exploring higher algebra, operads, and Koszul duality, understanding the relationship between Lie algebras and commutative algebras in group theory.

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

Introduction to the Tamagawa Number Theorem for Function Fields

Delve into advanced number theory concepts through an exploration of Tamagawa numbers, their role in lattice enumeration, L-functions, and geometric interpretations in function fields.

• YouTube
• 1 hour 51 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Truncated Barsotti-Tate Groups and Truncated Displays - Part 2

Delve into advanced algebraic geometry concepts focusing on truncated Barsotti-Tate groups, crystalline Dieudonné theory, and their relationship with displays through geometric stack properties.

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