|Topic:||Homological versus Hodge-theoretic mirror symmetry|
|Affiliation:||University of Texas, Austin; von Neumann Fellow, School of Mathematics|
|Date:||Monday, January 30|
|Time/Room:||2:00pm - 3:00pm/S-101|
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.