ALGEBRAIC GEOMETRY SEMINAR - TRINO SERIES - Thursday, 23 February 2023, at 14:00

[ICTP Math Section]

_ALGEBRAIC GEOMETRY SEMINAR - TRINO SERIES_


Thursday 23 February, at 14:00 hrs.

Venue: Room 134 (SISSA) - Via Bonomea, 265, Trieste

Speaker: Sergej Monavari (EPFL)

Title: Double nested Hilbert schemes and stable pair invariants

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.

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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