Date/Time
Date(s) - 23/11/2023
9:30 am - 10:30 am

Location: HH207

Speaker: Ritvik Ramkumar (Cornell’s University)

Title: On the parity conjecture for Hilbert schemes of points on threefolds

Abstract: The Hilbert scheme of points in affine n-dimensional space, which parametrizes zero-dimensional subschemes with a fixed degree, is a fundamental parameter space in algebraic geometry. Quot schemes are a generalization of Hilbert schemes, parametrizing finite length quotients of a locally free sheaf. We will explore some interesting phenomena and problems about these spaces that are specific to the three-dimensional case, focusing on the tangent space and recent progress on the parity conjecture of Okounkov and Pandharipande. This is joint work with Alessio Sammartano.