MAT 648: Mirror Symmetry for Gromov-Witten Invariants

Stony Brook            Fall 2014

 

Announcements

Here is general information about the course.

Here are Notes on Mirror Symmetry (updated 10/11/15). The last update consists of Sections 2.3 and 2.4. It covers the lecture on 10/14, but still only the beginning of the lecture on 10/09; hopefully, the rest of the lectures on 10/09,16 will appear this weekend. Sections 1 and 4 should be complete, but may be revised in the future. Please let me know if you have any comments or corrections (however minor).
 

Course Instructor

Name: Aleksey Zinger     E-mail: azinger@math     Phone: 632-8288
Office: Math Tower 3-111     Office Hours: W 9-10 in P-143, 10-12 on 3-111

 

Tentative Schedule

Date TopicRead
08/26, TuIntroduction [Z]: Section 1.1
08/28, ThClassifying spaces [Z]: Sections 1.1,1.2
09/02, Tuno class: student holiday
09/04, ThGroup cohomology [Z]: Sections 1.2,1.3
09/09, TuEquivariant cohomology [Z]: Sections 1.3-1.5
09/11, ThEquivariant vector bundles [Z]: Section 1.4,1.5
09/16, TuEquivariant pushforward [Z]: Sections 1.6,1.7
09/18, Th
09/23, TuEquivariant localization theorem: statement [Z]: Sections 1.8,1.9
09/25, ThEquivariant localization theorem: proof
09/30, Tu SCGP Workshop
10/02, Th
10/07, TuQuantum Lefschetz Hyperplane Principle [Z]: Sections 2.0-2.2
10/09, ThA symplectic perspective [MS]: Section 7.1-7.3
10/14, Tu Gromov's convergence topology [Z]: Sections 2.3,2.4
10/16, ThLinearizations [MS]: Sections 2.5,3.1,3.2,6.1
[MirSym]: Chapter 24
10/21, Tu Proof of QLHP and AG perspective [MS]: Section 7.3, [FP]: Sections 0-7
10/23, Th Torus actions on moduli spaces [MirSym]: Section 27.3
10/28, Tu Weights of torus actions [MirSym]: Sections 27.2,27.4
10/30, ThSome computations [MirSym]: Sections 27.5
11/04, TuGivental's J-function [Z]: Sections 4.1-4.3
11/06, ThGivental's polynomiality property [Z]: Section 4.4
11/11, TuGivental's rigidity property [Z]: Section 4.4
11/13, ThRecursivity for J-function [Z]: Section 4.6
11/18, TuPolynomiality for J-function [Z]: Section 4.7
11/20, ThInvariance of rigidity conditions [Z]: Section 4.5
11/25, TuAn overview-

References

 

This page is maintained by Aleksey Zinger.
Last modified: November 15, 2014.