[math-ias] Reminder for today's Homological Mirror Symmetry minicourse

[Anthony Pulido]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Wednesday, December 14

Homological Mirror Symmetry (minicourse)
Topic:         Numerical invariants from bounding chains
Speaker:     Jake Solomon, Hebrew University of Jerusalem; Visitor, 
School of Mathematics
Time/Room:     10:45am - 12:00pm/S-101
Abstract Link: http://www.math.ias.edu/seminars/abstract?event=113024

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.