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Kontsevich-Soibelman wall-crossing formula and a Riemann-Hilbert problem

Connections for Women: Holomorphic Differentials in Mathematics and Physics August 15, 2019 - August 16, 2019

August 16, 2019 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Anna Barbieri (University of Sheffield)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Riemann-Hilbert problem

  • Donaldson-Thomas theory and BPS numbers

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

07-Barbieri

Abstract

The goal of this talk is to present the wall-crossing formula (WCF) introduced by Kontsevich and Soibelman and a class of Riemann-Hilbert problems naturally associated. The WCF describes a special behaviour of some counting invariants depending on a parameter space in a piece-wise constant way. I will recall how this formula appears with an explicit example of a moduli space of quadratic differentials and I will present the solution of a simple instance of the Riemann-Hilbert problem.

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Video/Audio Files

07-Barbieri

H.264 Video 894_27296_7864_07-Barbieri.mp4
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