Search Results

for "gasc" in "Events" , displaying 1 - 3 of 3 results

GASC Seminar “Generalized Steinberg theory and Robinson-Schensted correspondence for partial permutations” by Kyo Nishiyama (Aoyama Gakuin University and MIT)

Abstract: Let G be a connected reductive algebraic group. Let us consider a product X of flag varieties and the diagonal action of G, which extends to a Hamiltonian action on the cotangent bundle T*X. Hence we get a moment map. Steinberg considered a conormal variety and deduced a map from the Weyl group W of G to the nilpotent coadjoint orbit in the Lie algebra. In type A, this…

GASC Seminar “Symbolic Powers and the Question of Uniform Growth” by Robert Walker (University of Michigan)

Abstract: Fix the coordinate ring R of a complex non-singular affine algebraic variety V, and a radical ideal I in R. The set of polynomial functions on V vanishing to order at least N at all points of the zero locus of I in V has the structure of an ideal -- the N-th symbolic power I^{(N)} of I. In particular, while I^N always lies in I^{(N)}, the latter may…

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…