Huai-Liang Chang (HKUST)

Junwu Tu (University of Missouri and ShanghaiTech University)

9:00am-10:00am Huai-Liang Chang (I)

10:30am-11:30am Junwu Tu (I)

2:00pm-3:00pm Huai-Liang Chang (II)

3:30pm-4:30pm Junwu Tu (II)

There will be tea at 10:00am and at 3:00pm.

Huai-Liang Chang:

Mixed Spin P field theory connects Gromov Witten theory to Fan-Jarvis-Ruan-Witten theory. And this helps determine both theories' invariants. In this talk I will introduce its setup and recent progress on its packages.

Junwu Tu:

We compute the g = 1, n = 1 B-model Gromov-Witten invariant of an elliptic curve E directly from the derived category of coherent sheaves on E. More precisely, we carry out the computation of the categorical Gromov-Witten invariant defined by Costello using as target a cyclic A-infinity model due to Polishchuk. This is the first non-trivial computation of a positive genus categorical GromovWitten invariant, and the result agrees with the prediction of mirror symmetry: it matches the classical (non-categorical) Gromov-Witten invariants of a symplectic 2-torus computed by Dijkgraaf.

陈平平: chenpingping@math.pku.edu.cn