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Back to Algebraic Geometry Seminar: Spring 2025

Algebraic Geometry Seminar


Date: Monday, Jan 27, 2025

Time: 3:30PM - 4:30PM

Location: LCB 225

Monday 2:00pm


Pierrick Bousseau

University of Georgia

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. 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.

Algebraic Geometry

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