Homological versus Hodge-theoretic mirror symmetry

Members' Seminar
Topic:Homological versus Hodge-theoretic mirror symmetry
Speaker:Timothy Perutz
Affiliation:University of Texas, Austin; von Neumann Fellow, School of Mathematics
Date:Monday, January 30
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/membsem/2017/0130-TimothyPerutz

I'll describe joint work with Sheel Ganatra and Nick Sheridan which rigorously establishes the relationship between different aspects of the mirror symmetry phenomenon for Calabi-Yau manifolds. Homological mirror symmetry---an abstract, categorical statement---implies Hodge theoretic mirror symmetry, a concrete relation between counts of rational curves and variations of Hodge structure.