Algebraic Geometry Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 2

Explore prismatic cohomology, focusing on general results and derived concepts. Delve into prismatization as a tool for understanding this advanced mathematical theory.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

A Homotopical Approach to Crystalline Cohomology

Explore a homotopical approach to crystalline cohomology, focusing on higher homotopies for canonical lifts and easier global definition through gluing.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

BunG Seminar

Shtukas and Excursions in Categorical Spectral Theory - Talk 42

Delve into advanced mathematical concepts exploring the relationship between excursion operators, shtuka cohomologies, and categorical spectral action through categorical traces.

• YouTube
• 2 hours 17 minutes
• On-Demand
• Free Video

BunG Seminar

Moduli Spaces of Local Systems in Algebraic Varieties

Delve into advanced mathematical concepts of local systems and Galois representations, exploring construction methods and parameter spaces in Betti, deRham, and l-adic settings.

• YouTube
• 1 hour 57 minutes
• On-Demand
• Free Video

BunG Seminar

Singular Support for Constructible Sheaves in Étale Topology

Delve into advanced mathematical concepts of singular support in constructible sheaves, exploring wave front distributions and étale versions for geometric Langlands theory.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video

BunG Seminar

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
• On-Demand
• Free Video

BunG Seminar

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
• On-Demand
• Free Video

BunG Seminar

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
• On-Demand
• Free Video

BunG Seminar

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
• 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

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

BunG Seminar

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

BunG Seminar

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

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