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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• 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

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

M-Seminar, Kansas State University

The Gauss-Manin Connection in Noncommutative Geometry

Explore the Gauss-Manin connection in noncommutative geometry, where varieties become associative rings and De Rham cohomology transforms into periodic cyclic complexes.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Fields Institute

Geometric Langlands and Arithmetic

Explore the deep connections between geometric Langlands correspondence and arithmetic geometry in this advanced mathematical lecture.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

BIMSA

Relative Regular Riemann-Hilbert Correspondence

Explore the mathematical foundations of relative regular Riemann-Hilbert correspondence through advanced theoretical analysis and applications.

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

IMSA

Fourier Analysis of Equivariant Quantum Cohomology - Lecture 3

Explore Fourier analysis of equivariant quantum cohomology, focusing on D-module versions, Teleman's conjecture, and applications to projective bundles and blowups.

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

M-Seminar, Kansas State University

Resurgent Perverse Sheaves and Topological Resurgence Theory

Explore topological counterparts of resurgence theory using perverse sheaves on C as convolution algebras, extending beyond regular holonomic D-modules to infinitely singular cases.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video