Geometry and Topology Seminar 2019-2020

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Fall 2010

The seminar will be held in room B901 of Van Vleck Hall on Fridays from 1:20pm - 2:10pm

Abstracts

Yong-Geun Oh (UW Madison)

Counting embedded curves in Calabi-Yau threefolds and Gopakumar-Vafa invariants

Gopakumar-Vafa BPS invariant is some integer counting invariant of the cohomology of D-brane moduli spaces in string theory. In relation to the Gromov-Witten theory, it is expected that the invariant would coincide with the `number' of embedded (pseudo)holomorphic curves (Gopakumar-Vafa conjecture). In this talk, we will explain the speaker's recent result that the latter integer invariants can be defined for a generic choice of compatible almost complex structures. We will also discuss the corresponding wall-crossing phenomena and some open questions towards a complete solution to the Gopakumar-Vafa conjecture.

Leonid Polterovich (Tel Aviv U and U of Chicago)

TBA

Markus Banagl (U. Heidelberg)

TBA

Sergei Tabachnikov (Penn State)

TBA

date speaker title host(s)
September 10 Yong-Geun Oh (UW Madison) [[#Yong-Geun Oh (UW Madison)| Counting embedded curves in Calabi-Yau threefolds and Gopakumar-Vafa invariants local
September 24 Leonid Polterovich (Tel Aviv U and U of Chicago) [[#Leonid Polterovich (Tel Aviv U and U of Chicago)| TBA Yong-Geun
October 22 Markus Banagl (U. Heidelberg) [[# Markus Banagl (U. Heidelberg)| TBA Maxim
November 5 Sergei Tabachnikov (Penn State) [[#Sergei Tabachnikov] (Penn State)| TBA Gloria