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Algebraic Geometry Seminar - Hsian-Hua Tseng

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February 21, 2017
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2017-02-21 15:00:00 2017-02-21 16:00:00 Algebraic Geometry Seminar - Hsian-Hua Tseng Title: A tale of four theoriesSpeaker: Hsian-Hua Tseng (Ohio State University)Abstract: Around a decade ago the following four $(\mathbb{C}^*)^2$-equivariant theories are proven to be equivalent:Gromov-Witten theory of $\mathbb{P}^1 \times \mathbb{C}^2$ relative to three fibers;Donaldson-Thomas theory of $\mathbb{P}^1 \times \mathbb{C}^2$ relative to three fibers;Quantum cohomology of Hilbert schemes of points on $\mathbb{C}^2$;Quantum cohomology of symmetric product stacks of $\mathbb{C}^2$.In this talk we'll discuss these four equivalence. We'll also sketch some new development, namely higher genus extensions of these equivalences (joint work with R. Pandharipande).Seminar URL: https://research.math.osu.edu/agseminar/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: A tale of four theories

SpeakerHsian-Hua Tseng (Ohio State University)

Abstract: Around a decade ago the following four $(\mathbb{C}^*)^2$-equivariant theories are proven to be equivalent:

  1. Gromov-Witten theory of $\mathbb{P}^1 \times \mathbb{C}^2$ relative to three fibers;
  2. Donaldson-Thomas theory of $\mathbb{P}^1 \times \mathbb{C}^2$ relative to three fibers;
  3. Quantum cohomology of Hilbert schemes of points on $\mathbb{C}^2$;
  4. Quantum cohomology of symmetric product stacks of $\mathbb{C}^2$.

In this talk we'll discuss these four equivalence. We'll also sketch some new development, namely higher genus extensions of these equivalences (joint work with R. Pandharipande).

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

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