Dates: Sep 22 (Sat), 2018
Venue: 1114, Science Building 1, Peking University (北京大学理科一号楼1114)
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.
Title and abstracts:
Huai-Liang Chang: An introduction to Mixed Spin P field
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: Computing a categorical Gromov-Witten invariant (Joint work with Andrei Caldararu)
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.