The topics of the 7th Advanced Seminar in Symplectic Geometry and Topological Field Theory are 1) Givental's quantization formula and Teleman's classification of semisimple cohomological field theory; 2) Sheaf-theoretic method in symplectic geometry. Each speaker will give three or four 2-hour talks on one topic. Students, postdocs and junior faculty are especially encouraged to attend.

Titles and Abstracts

1. David Treumann:


Title: Course on microlocal sheaf theory

Abstract: I will give an introduction to Kashiwara and Schapira's microlocal theory of sheaves, and some of its applications to symplectic.


2. Hsian-Hua Tseng:


Title: Gromov-Witten invariants and quantization of quadratic Hamiltonians (after A. Givental)
Abstract: The purpose of these talks is to give an exposition on Givental's approach to Gromov-Witten theory. Topics to be discussed are:
(1) the symplectic geometry of genus 0 Gromov-Witten theory (Givental's Lagrangian cone);
(2) formal Gromov-Witten potentials associated to semi-simple Frobenius manifolds;
(3) a localization derivation of Givental's formula for equivariant Gromov-Witten potentials.


3. Zhengyu Zong:


Title: Semi-simple topological field theory and Givental formalism

Abstract: In this series of talks, I will first review Teleman's classification of 2D semi-simple topological field theory and its relation to Givental formula in Gromov-Witten theory. Then I will discuss some applications of this result including Givental formula for equivariant Gromov-Witten theory of GKM orbifolds and all genus mirror symmetry for toric Calabi-Yau 3-orbifolds (BKMP Remodeling Conjecture).


Morning session: 9:30-11:30am

Afternoon session: 2:30-4:30pm

May 09 (Tue) Afternoon: Tseng

May 10 (Wed) Morning: Zong

May 10 Afternoon: Treumann

May 11 (Thu) Morning: Treumann

May 11 Afternoon: Tseng

May 12 (Fri) Morning: Tseng 

May 12 Afternoon: Zong

May 13 (Sat) Morning: Treumann

May 13 Afternoon: Zong


Ms.Ying Hao

No.78 Jingchunyuan,Peking University,

Beijing,China 100871



The meeting registration will be closed at 2017-05-01. Please register online to further confirm your hotel reservation, thank you in advance.