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Perverse Sheaves on Varieties with Large Fundamental Group

Offered By: IMSA via YouTube

Tags

Algebraic Geometry Courses Complex Analysis Courses Topology Courses Representation Theory Courses Fundamental Groups Courses Kähler Manifolds Courses Perverse Sheaves Courses

Course Description

Overview

Explore a rigorous mathematical lecture on perverse sheaves and their applications in complex geometry. Delve into Botong Wang's discussion of a generalized Singer-Hopf conjecture in the Kähler setting, focusing on perverse sheaves on compact aspherical Kähler manifolds. Examine the proof of this conjecture under the condition of a fundamental group with a faithful semi-simple rigid representation. Investigate the connection between this proof and ideas from the Shafarevich conjecture. Learn about the collaborative work between Wang and Donu Arapura in this advanced exploration of algebraic geometry and topology.

Syllabus

Conference: Periods, Shafarevich Maps & Applications: Botong Wang, University of Wisconsin-Madison


Taught by

IMSA

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