The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

06.02 & 08.02.2024, 14:00 Sofia time,

ICMS-Sofia, Room 403

A categorical view of singularity theory I, II

Paul Horja,
University of Miami, USA

Abstract: The mirror symmetry phenomenon was discovered by string theorists more than thirty years ago as an equivalence of two physical theories associated with very different geometries. The categorical point of view on this remarkable conjecture was famously introduced by M. Kontsevich in his 1994 ICM talk. As it became clear over time, homological mirror symmetry provides new approaches to many topics in symplectic and algebraic geometry. In these two talks, I will present a brief overview of the conjecture as well as some results inspired by mirror symmetry and obtained in joint work with L. Katzarkov about classical problems on discriminants and singularity theory.