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Algebraic Geometry Seminar - Rachel Webb

Algebraic Geometry Seminar
September 4, 2018
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2018-09-04 15:00:00 2018-09-04 16:00:00 Algebraic Geometry Seminar - Rachel Webb Title: The Abelian-Nonabelian Correspondence for Quasimap I-functions Speakers: Rachel Webb (University of Michigan) Abstract: When a complex reductive group G with maximal torus T acts on an affine variety S, one can form two (GIT) quotients: W//G and W//T. With the right hypotheses, W//G and W//T are both smooth projective varieties. The relationship between the cohomology rings of these two varieties is well understood. I will discuss the relationship of their quantum cohomology using the quasimap theory of Ciocan-Fontanine and Kim. In particular, I will present the abelian-nonabelian correspondence for quasimap I-functions when W is a vector space and G is connected. Seminar URL: https://research.math.osu.edu/agseminar/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: The Abelian-Nonabelian Correspondence for Quasimap I-functions

Speakers: Rachel Webb (University of Michigan)

Abstract: When a complex reductive group G with maximal torus T acts on an affine variety S, one can form two (GIT) quotients: W//G and W//T. With the right hypotheses, W//G and W//T are both smooth projective varieties. The relationship between the cohomology rings of these two varieties is well understood. I will discuss the relationship of their quantum cohomology using the quasimap theory of Ciocan-Fontanine and Kim. In particular, I will present the abelian-nonabelian correspondence for quasimap I-functions when W is a vector space and G is connected.

Seminar URLhttps://research.math.osu.edu/agseminar/

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