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Gromov-Witten invariants of blowups

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If you have a question about this talk, please contact Dhruv Ranganathan.

Gromov-Witten invariants are notoriously hard to compute, and despite much work, we currently lack a good understanding of how Gromov-Witten invariants change under blowups. On the other hand, we have a relatively good understanding of Gromov-Witten invariants of complete intersections in toric varieties and Grassmannians, thanks to theorems by Givental and Ciocan-Fontanine-Kim-Sabbah. I will show that under favorable circumstances we can fit blowups in this framework, which allows us to write down explicit generating functions for Gromov-Witten invariants of these blowups. This is joint work with Tom Coates and Qaasim Shafi.

This talk is part of the Algebraic Geometry Seminar series.

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