Scientific Calendar Event

Starts 23 Feb 2023 14:00
Ends 23 Feb 2023 15:00
Central European Time
Room 134 (SISSA)
Via Bonomea, 265,Trieste
Abstract: Hilbert schemes of points on a smooth projective curve are 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.

All interested are welcome to attend.