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#Perverse Sheaves

Showing: 15 courses
Institut des Hautes Etudes Scientifiques (IHES)

Localization Theory for Harish-Chandra Bimodules in Positive Characteristic

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Delve into advanced algebraic group theory, exploring Harish-Chandra bimodules, equivariant coherent sheaves, and their connections to representation theory in positive characteristic mathematics.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Perverse Sheaves and Resurgence in Borel Summation

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Explore the connection between resurgence theory and perverse sheaves, focusing on Borel summation, Stokes phenomena, and alien derivatives in algebraic structures.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institute for Advanced Study

Introduction to Perverse Sheaves

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Dive into the fundamental concepts and theoretical foundations of perverse sheaves with expert mathematician Mark Goresky, exploring advanced mathematical structures and their applications.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
BunG Seminar

The Geometric Satake Correspondence - Talk 20

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Delve into the Geometric Satake Correspondence, exploring spherical perverse sheaves, affine Grassmannian geometry, and their connection to Langlands Dual Group representations in advanced mathematics.
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1 Lesons
2 hours
On-Demand
Free-Video
IMSA

Perverse Sheaves on Varieties with Large Fundamental Group

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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.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

D-Modules and Toric Schobers

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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.
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1 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Perverse Sheaves and Schobers on Riemann Surfaces - Tobias Dyckerhoff

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Explore derived constructible categories on stratified Riemann surfaces, t-structures, Verdier duality, and categorified perverse sheaves with applications in algebraic geometry and topology.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Generic Character Sheaves for Parahoric Subgroups

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Exploration of Lusztig's character sheaves theory, extending to positive-depth cases and addressing Lusztig's conjecture. Focuses on perverse sheaves and parahoric Deligne-Lusztig induction in representation theory.
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1 Lesons
59 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Resurgent Perverse Sheaves and Topological Resurgence Theory

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Explore topological counterparts of resurgence theory using perverse sheaves on C as convolution algebras, extending beyond regular holonomic D-modules to infinitely singular cases.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Perverse Sheaves in Deformation Quantization

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Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Categorification of Donaldson-Thomas Invariants

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Explore categorification of Donaldson-Thomas invariants through derived foliations, extending BBDJS construction with a sheaf of 2-periodic dg-categories modeled on matrix factorizations.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Institute for Advanced Study

Singularities of Constructible Sheaves

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Explore advanced mathematical concepts in constructible sheaves and their singularities, delving into complex algebraic geometry and topology.
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1 Lesons
18 minutes
On-Demand
Free-Video
BIMSA

Derived Approach to Highest Weight Categories

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Explore highest weight categories in Representation Theory, examining their interpretation through exact categories, abelian envelops, and exceptional collections in derived categories.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
BIMSA

Langlands Duality for the Affine Hecke Category

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Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institute for Advanced Study

Introduction to Perverse Sheaves - Part 2

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Delve into advanced mathematical concepts of perverse sheaves, exploring theoretical foundations and applications in topology and algebraic geometry through expert insights.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video