Perverse Sheaves Courses and Certifications

Institute for Advanced Study

Introduction to Perverse Sheaves

Dive into the fundamental concepts and theoretical foundations of perverse sheaves with expert mathematician Mark Goresky, exploring advanced mathematical structures and their applications.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Introduction to Perverse Sheaves - Part 2

Delve into advanced mathematical concepts of perverse sheaves, exploring theoretical foundations and applications in topology and algebraic geometry through expert insights.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Virtual Workshop on Recent Developments in Geometric Representation Theory

Explore cutting-edge research in geometric representation theory through expert lectures on quantum groups, perverse sheaves, and algebraic structures.

• YouTube
• 19 hours 37 minutes
• On-Demand
• Free Video

BunG Seminar

The Geometric Satake Correspondence - Talk 20

Delve into the Geometric Satake Correspondence, exploring spherical perverse sheaves, affine Grassmannian geometry, and their connection to Langlands Dual Group representations in advanced mathematics.

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

Hausdorff Center for Mathematics

Perverse Sheaves and Schobers on Riemann Surfaces - Tobias Dyckerhoff

Explore derived constructible categories on stratified Riemann surfaces, t-structures, Verdier duality, and categorified perverse sheaves with applications in algebraic geometry and topology.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

IMSA

Perverse Sheaves on Varieties with Large Fundamental Group

Explore perverse sheaves on Kähler manifolds, focusing on a generalization of the Singer-Hopf conjecture and its proof using Shafarevich conjecture ideas. Joint work with Donu Arapura presented.

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

Institut des Hautes Etudes Scientifiques (IHES)

Perverse Sheaves and Resurgence in Borel Summation

Explore the connection between resurgence theory and perverse sheaves, focusing on Borel summation, Stokes phenomena, and alien derivatives in algebraic structures.

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

BIMSA

Perverse Sheaves, Hopf Algebras and Induction/Restriction Formalism

Explore advanced mathematical connections between perverse sheaves, Hopf algebras, and induction/restriction methods in this specialized algebraic geometry lecture.

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

M-Seminar, Kansas State University

Perverse Sheaves in Deformation Quantization

Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.

• YouTube
• 1 hour 22 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Perverse Sheaves and Representations of p-adic Groups

Explore the revolutionary connection between perverse sheaves and p-adic group representations, featuring Lusztig's groundbreaking approach to discrete representation theory.

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

Hausdorff Center for Mathematics

Modular Perverse Sheaves on the Affine Flag Variety

Explore geometric representation theory, focusing on categorical realizations of the affine Hecke algebra and the challenge of relating constructible and coherent sheaves through category equivalence in modular cases.

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

Harvard CMSA

Cohomological Hall Algebras and Perverse Coherent Sheaves on Toric Calabi-Yau 3-Folds

Delve into advanced mathematical concepts exploring cohomological Hall algebras, their relationship with perverse coherent sheaves, and their applications in toric Calabi-Yau 3-folds geometry.

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

M-Seminar, Kansas State University

Perverse Coherent Sheaves on Symplectic Singularities - Part 3 of 3

Explore advanced algebraic geometry through perverse coherent sheaves on symplectic singularities, connecting modular representation theory and geometric Langlands program.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Perverse Coherent Sheaves on Symplectic Singularities - Part 2 of 3

Explore perverse coherent sheaves on symplectic singularities, connecting algebraic geometry to representation theory and gauge theories in this advanced mathematical seminar.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video