Main content start
Seminar

Generalized Block-Göttsche polynomials and Welschinger invariants

Speaker
Pierrick Bousseau (University of Georgia)
Date
Fri, Nov 1 2024, 12:00pm
red knot logo

Using tropical geometry, Block-Göttsche defined polynomials with the remarkable property to interpolate between Gromov-Witten counts of complex curves and Welschinger counts of real curves in toric del Pezzo surfaces. I will describe a generalization of Block-Göttsche polynomials to arbitrary, not-necessarily toric, rational surfaces and propose a conjectural relation with refined Donaldson-Thomas invariants. This is joint work in progress with Hulya Arguz.