比利时vs摩洛哥足彩
,
university of california san diego
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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****************************
