Modularity of Landau-Ginzburg Models

09/22/2023 12:00 pm - 1:00 pm
Damian van de Heisteeg Samy Jelassi
Common Room, CMSA
Address: 20 Garden Street, Cambridge, MA 02138 USA

Member Seminar

Speaker: Chuck Doran

Title: Modularity of Landau-Ginzburg Models

Abstract:  Fano varieties are the basic building blocks of algebraic varieties.  Smooth Fano varieties have been classified in dimensions one (the projective line), two (del Pezzo surfaces), and three (Mori-Mukai classification).  What does Mirror Symmetry have to say about such classifications?  By studying the Landau-Ginzburg models mirror to smooth Fano threefolds we can transform the Mori-Mukai classification into an effective uniruledness result for moduli spaces of certain K3 and abelian surfaces.  This is joint work with Andrew Harder, Ludmil Katzarkov, Mikhail Ovcharenko, and Victor Przjalkowski (arXiv:2307.15607).