[geometry-ml:03358] MS seminar at Kavli IPMU -- Yongbin Ruan (U of Michigan) -- Jun 21 and 22, 2018

[Todor Milanov]

Dear all,

I would like to announce the following two Mathematics and String theory seminars at Kavli IPMU

1)
Speaker:	Yongbin Ruan (U of Michigan)
Date: Thu, Jun 21, 2018, 15:30 - 17:00
Place: Seminar Room B

Title: Structure of higher genus Gromov-Witten invariants of the quintic 3-fold

Abstract: The computation of higher genus GW-invariants of compact Calami-Yau 3-folds (symbolized by the quintic 3-fold) has been a very difficult problem for both mathematician and physicists. Using the B-model, physicists has proposed a zoo of conjectures for the structure of higher genus GW-invariants of the quintic 3-fold. Working with a group of exceptionally talented young people Guo, Janda and Qile Chen, we have made a breakthrough recently to solve all these conjectures.

2)
Speaker:	Yongbin Ruan (U of Michigan)
Date: Fri, Jun 22, 2018, 13:15 - 14:45
Place: Seminar Room B

Title: Verlinde/Grassmanian Correspondence

Abstract: More than twenty years ago, Witten proposed an equivalence of two quantum fields governing Verlinde algebra (or the theory of stable bundles over a curve) and the quantum cohomology of Grassmanian. Motivated by Witten's physical work and recent revival of quantum K-theory, we proposed a K-theoretic version of so called Verlinde/Grassmanian correspondence. We will first review the new ingredient of level structure in quantum K-theory and surprising appearance of mock theta function. Then, we will present a proof of correspondence in rank two using wall-crossing technique. This is a joint work with Davesh Maulik and Ming Zhang.



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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp