MS Seminar (Mathematics - String Theory)

Speaker: Daniel Pomerleano (U of Massachusetts)
Title: Homological mirror symmetry for Batyrev mirror pairs
Date (JST): Thu, Aug 15, 2024, 13:30 - 15:00
Place: Seminar Room B
Abstract: I will survey a recent proof of a version of Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed by Batyrev from dual reflexive polytopes. The theorem holds in characteristic zero and in all but finitely many positive characteristics. This is joint work with Ganatra, Hanlon, Hicks, and Sheridan.