Personal tools
You are here: Home Events Enumerative geometry of curves: old and new

Enumerative geometry of curves: old and new

— filed under:

Aleksey Zinger (Stony Brook, zZt MPI) - Seminar Algebraic Geometry (SAG)

  • Seminar
When Nov 26, 2015
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
Add event to calendar vCal

I will present an overview of the (complex) Gromov-Witten invariants and their relation to curve counts provided by Pandharipande's version Gopakumar-Vafa formula for Fano classes. I will then present a similar formula that transforms the real positive-genus GW-invariants of many real-orientable threefolds into signed counts of curves. These integer invariants provide lower bounds for counts of real curves of a given genus that pass through conjugate pairs of constraints. This talk is based on recent joint works with P. Georgieva and J. Niu.