Nov 11 at 17:30 in 507

Hülya Argüz and  Pierrick Bousseau

Title: Generalized Block-Göttsche polynomials and Welschinger invariants

Abstract: 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. We will describe a generalization of Block-Göttsche polynomials to arbitrary, not-necessarily toric, rational surfaces and propose a conjectural relation of such polynomials with refined Donaldson-Thomas invariants.