Printable PDF
Department of Mathematics,
University of California San Diego

****************************

Math 208 - Algebraic Geometry Seminar

Martijn Kool

Utrecht University

Virtual Segre and Verlinde numbers of projective surfaces.

Abstract:

Recently, Marian-Oprea-Pandharipande proved Lehn's conjecture for Segre numbers associated to Hilbert schemes of points on surfaces. They also provided a conjectural correspondence between Segre and Verlinde numbers. For surfaces with holomorphic 2-form, we propose conjectural generalizations of their results to moduli spaces of stable sheaves of any rank. We provide several verifications by using Mochizuki's formula. Joint work with Gottsche.

Host: Dragos Oprea

October 16, 2020

11:30 AM

For Zoom: Please contact David Stapleton (dstapleton@ucsd.edu)

****************************