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GASC Seminar "Symmetric products of projective space and Gromov-Witten theory" by Robert Silversmith (Northeastern)

Abstract: I'll discuss (orbifold) symmetric products of projective spaces Sym^d(P^r), focusing on the structure of orbits of the natural torus action. These orbits vary in nice toric moduli spaces -- for example, components of the moduli space of 1-dimensional orbits are naturally identified with certain toric compactifications of M_{0,n}. I will then discuss how one can use these orbits to calculate Gromov-Witten invariants of Sym^d(P^r). If I have time, I'll also talk about how this story works when Sym^d(P^r) is replaced with the Hilbert scheme of points Hilb^d(P^r).

Monday, December 3, 2018 at 12:15pm to 1:15pm

511 Lake Hall

Event Type

Seminar

Departments

COS, Mathematics, Geometry, Algebra, Singularities, Combinatorics (GASC)

Sponsoring Organization

Mathematics Department

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