Giulia Gugiatti - Hypergeometric LG models and anticanonical log del Pezzo surfaces - 14.06.2023
Channel: Hörsaal Mathematikon
Date: 14/06/2023

Hodge theory, Mirror Symmetry, and Physics of Calabi-Yau Moduli
https://web.mathi.uni-heidelberg.de/cymod23
A MATCH-PIMS-STRUCTURES workshop in Mathematical Physics, held from June 12 to 16, 2023, at the Mathematikon in Heidelberg
For more talks visit https://www.youtube.com/playlist?list=PL57PsbjMibmQ37JSKzyxqvmIhyAfF1iFs

Abstract: I will explain how hypergeometric Landau-Ginzburg (LG) models offer a tool to build Hodge-theoretic mirrors for certain Fano varieties out of the known constructions. Among these Fanos is the Johnson-Kollár series of anticanonical log del Pezzo surfaces. I will describe the Hodge-theoretic mirrors of these surfaces, built jointly with A. Corti, and I will exhibit full exceptional collections for the derived category of the associated stacks. This last result is joint with F. Rota and is part of an ongoing project with F. Rota and M. Habermann to study homological mirror symmetry for the surfaces.