##### 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)

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