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.
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