Department of Mathematics,
University of California San Diego
****************************
Math 208 - Algebraic Geometry Seminar
Sergej Monavari
Utrecht University
Double nested Hilbert schemes and stable pair invariants
Abstract:
Hilbert schemes of points on a smooth projective curve are simply symmetric powers of the curve itself; they are smooth and we know essentially everything about them. We propose a variation by studying double nested Hilbert schemes of points, which parametrize flags of 0-dimensional subschemes satisfying certain nesting conditions dictated by Young diagrams. These moduli spaces are almost never smooth but admit a virtual structure à la Behrend-Fantechi. We explain how this virtual structure plays a key role in (re)proving the correspondence between Gromov-Witten invariants and stable pair invariants for local curves, and say something on their K-theoretic refinement.
Host: Dragos Oprea
January 28, 2022
10:30 AM
Pre-talk at 10:00 AM
Contact Samir Canning (srcannin@ucsd.edu) for zoom access.
Research Areas
Algebraic Geometry****************************
