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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
  • 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



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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H.264 Video 894_27296_7864_07-Barbieri.mp4
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