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Wall-Crossing for Elliptic Central Charges

Offered By: IMSA via YouTube

Tags

Mathematics Courses Coherent Sheaves Courses Wall-Crossing Courses

Course Description

Overview

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Explore the concept of wall-crossing for elliptic central charges in this 32-minute lecture by Konstantin Aleshkin from Columbia University. Delve into the construction of generating series for cohomological and K-theoretic enumerative invariants of varieties. Learn how to derive A-periods or central charges from coherent sheaves (B-branes) on a variety X, and discover the process of creating elliptic central charges using equivariant elliptic cohomology classes. Examine the relationship between elliptic central charges and different stability conditions in the context of GIT quotients of vector spaces by C^*.

Syllabus

Konstantin Aleshkin, Columbia University: Wall-crossing for elliptic central charges


Taught by

IMSA

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