Title: A mirror theorem for symmetric products of projective space
Speaker: Robert Silversmith (University of Michigan Ann Arbor)
Abstract: Through 3 general points and 6 general lines in P^3, there are exactly 190 twisted cubics; 190 is a Gromov-Witten invariant of $P^3$. Mirror symmetry is a conjecture about the structure of all Gromov-Witten invariants of a smooth complex variety (or orbifold) $X$. The conjecture is known for toric orbifolds and some of their complete intersections. We prove it in the case of the nontoric orbifold $Sym^d(P^r)$. This orbifold is of particular interest because when $r=2$, its Gromov-Witten invariants are conjecturally related to those of the Hilbert scheme $Hilb^d(P^2)$.
Seminar URL: https://research.math.osu.edu/agseminar/
