Title: Disk potentials and mirror symmetry
Speaker: Dmitry Tonkonog
Speaker Info: UC Berkeley
Brief Description: TBA [Note the unusual time.]
Special Note: Note the unusual time.
Fix a Fano manifold and a monotone Lagrangian torus inside it. The simplest enumerative invariant of the torus is its disk potential, which is a certain Laurent polynomial. It can be seen as a piece of the mirror to the Fano, according to the SYZ conjecture. I will explain how to prove some classical mirror symmetry predictions from this point of view. I will focus on two theorems: a formula for the quantum periods of a Fano manifold in terms of period integrals, and the quantum Lefschetz formula.Date: Thursday, December 6, 2018