Discriminants and Toric Birational Geometry

Discriminants and Toric Birational Geometry

Explore a lecture on discriminants and toric birational geometry presented by R. Paul Horja from the University of Miami. Delve into the intricate world of Gorenstein toric singularities and their role in toric homological mirror symmetry. Examine the proposed B-side categories along the strata of the discriminant locus, which describe the singularities of the associated GKZ hypergeometric D-module. Investigate the conjectural construction of the web of spherical functors, as proposed by Aspinwall, Plesser, and Wang, based on string theoretic arguments. This 1-hour and 7-minute talk offers a deep dive into advanced mathematical concepts at the intersection of algebraic geometry, mirror symmetry, and string theory.