# Numerical invariants from bounding chains

 Homological Mirror Symmetry (minicourse) Topic: Numerical invariants from bounding chains Speaker: Jake Solomon Affiliation: Hebrew University of Jerusalem; Visitor, School of Mathematics Date: Wednesday, December 14 Time/Room: 10:45am - 12:00pm/S-101 Video Link: https://video.ias.edu/homomirrorsym/2016/1214-JakeSolomon

I'll begin with a leisurely introduction to Fukaya A-infinity algebras and their bounding chains. Then I'll explain how to use bounding chains to define open Gromov-Witten invariants. The bounding chain invariants can be computed using an open analog of the WDVV equations. This leads to an explicit understanding of the homotopy type of certain Fukaya A-infinity algebras. Also, the bounding chain invariants generalize Welschinger's real enumerative invariants. A nice example is real projective space considered as a Lagrangian submanifold of complex projective space. This is joint work with Sara Tukachinsky.