D-modules Courses and Certifications

BIMSA

D-Modules and Singularities - Bernstein-Sato Ideals and Monodromy for Polynomial Mappings

Explore recent findings connecting D-modules with singularities, focusing on Bernstein-Sato ideals and monodromy in polynomial mappings.

• YouTube
• 53 minutes
• On-Demand
• Free Video

International Mathematical Union

Hiroshi Iritani: On Decompositions of Quantum Cohomology D-Modules

Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.

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

IMSA

Constructible Sheaves and Filtered D-Modules

Explore the Riemann-Hilbert correspondence and its p-adic analogue, connecting constructible sheaves to filtered D-modules with applications in algebraic geometry.

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

IMSA

D-Modules and Toric Schobers

Exploring mirror symmetry using perverse sheaves of categories and schobers, with focus on B-side category in toric homological mirror symmetry and associated D-module characteristic cycles.

• YouTube
• 59 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Hausdorff Center for Mathematics

J. E. Rodriguez Camargo: A Local Jacquet-Langlands Correspondence for Locally Analytic D-Modules

Explore an equivalence between GL₂(F)-equivariant D-modules on Drinfeld space and D*^-equivariant D-modules on P¹, with applications to Scholze's functor and admissible representations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IMSA

Minimal Exponents of Singularities

Explore advanced mathematical concepts like minimal exponents, Bernstein-Sato polynomials, and their connections to D-modules, Hodge theory, and birational geometry in this in-depth lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

BIMSA

Recent Progress in Geometric Langlands - ICBS 2024

Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Fourier Analysis of Equivariant Quantum Cohomology - Part I

Explore Teleman's conjecture, equivariant quantum cohomology, and Fourier spectral analysis in symplectic geometry. Gain insights into D-module decomposition for projective bundles and blowups.

• YouTube
• 1 hour
• 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

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

BunG Seminar

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

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
• On-Demand
• Free Video