Wall-Crossing for Elliptic Central Charges

Wall-Crossing for Elliptic Central Charges

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^*.