Sheel Ganatra: Homological mirror symmetry for Batyrev mirror pairs

Date: 2024-06-24

Time: 10:00 - 11:00


Sheel Ganatra, University of Southern California


I will give an overview of our recent proof of Kontsevich’s homological mirror symmetry conjecture for a large class of mirror pairs of (compact) Calabi–Yau hypersurfaces in toric varieties. These mirror pairs were constructed by Batyrev from dual reflexive polytopes, and our result holds in characteristic zero and in all but finitely many positive characteristics. Joint work with Hanlon, Hicks, Pomerleano and Sheridan.