# Compactification of moduli spaces of J-holomorphic maps relative to snc divisors

Monday, October 16, 2017 -

4:00pm to 5:00pm

In this talk, I will describe an efficient way of compactifying moduli spaces of J-holomorphic maps relative to simple normal crossings (snc) symplectic divisors, including the holomorphic case. The primary goal of this construction is to define Gromov-Witten invariants relative to snc divisors, and to establish a GW-degeneration formula for any semistable degeneration with an snc central fiber. It is also possible to extend the construction to the case of J-holomorphic maps with boundary on a Lagrangian, even if the Lagrangian intersects the divisor non-trivially (intersecting each stratum in a Lagrangian again); especially, if the Lagrangian is a real locus.

Speaker:

Mohammad Farajzadeh Tehrani

Stony Brook University

Event Location:

Fine Hall 224