BunG Seminar Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Truncated Barsotti-Tate Groups and Truncated Displays

Delve into advanced algebraic geometry through an exploration of truncated Barsotti-Tate groups, their relationship with displays, and crystalline Dieudonné theory in geometric stacks.

• YouTube
• 2 hours 39 minutes
• On-Demand
• Free Video

Chiral and Factorization Algebra - Lecture 25

Delve into advanced mathematical concepts exploring chiral and factorization algebras, their equivalence, and the relationship with Lie-* algebras, culminating in the Eckmann-Hilton commutativity theorem.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

The Moduli Stack of Displays - Introduction to Zink's Display Theory

Delve into advanced algebraic geometry concepts through Zink's display theory, exploring Dieudonne theory extensions and connections to Barsotti-Tate groups in characteristic p settings.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

Prismatic Dieudonné Theory and Classifying Stacks - Part 2

Delve into prismatic Dieudonné theory and explore p-divisible group classification through prismatic crystals, with applications to cohomology of classifying stacks.

• YouTube
• 2 hours 1 minute
• On-Demand
• Free Video

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
• On-Demand
• Free Video

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
• On-Demand
• Free Video