A Categorical Description of Discriminants
Explore a lecture on the categorical description of discriminants presented by R. Paul Horja at the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference. Delve into the B-side categories in toric homological mirror symmetry along the strata of the generalized discriminant locus, as proposed by Aspinwall, Plesser, and Wang. Examine the conjectural construction of associated spherical functors and the supporting K-theoretic evidence. Gain insights into this joint work with Ludmil Katzarkov, which bridges algebraic topology, algebraic geometry, and mathematical physics. Learn about the rich interactions between the study of orbifolds and singularity theory across North and South America, and understand how this research contributes to the active field of group actions in geometry and topology.