Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 4

Explore a lecture on vertex algebras associated with divisors on toric Calabi-Yau threefolds, presented by Dylan Butson from Oxford University. Delve into two conjecturally equivalent constructions of these vertex algebras and examine partial results towards proving their equivalence. Investigate the algebraic approach, involving the kernel of screening operators on lattice vertex algebras, and the geometric method, which utilizes convolution algebras acting on the homology of moduli spaces of sheaves. Gain insights into the correspondence between enumerative geometry of sheaves on Calabi-Yau threefolds and the representation theory of W-algebras and affine Yangian-type quantum groups. This 1 hour 45 minute presentation, part of the M-Seminar series at Kansas State University, offers an in-depth exploration of advanced mathematical concepts at the intersection of algebraic geometry and theoretical physics.