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Riemann-Hilbert problems from Donaldson-Thomas theory

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If you have a question about this talk, please contact Andrea Brini.

I’m going to talk about some Riemann-Hilbert problems involving maps from the complex plane to an algebraic torus, with prescribed discontinuities along a collection of rays. These arise naturally in Donaldson-Thomas (DT) theory, although it’s not necessary to know anything about that to follow the talk. I will explain how the monodromy map for the perturbed cubic oscillator can be used to solve an important class of these problems (corresponding to the DT theory of the A2 quiver).

This talk is part of the Geometry and Mathematical Physics seminar series.

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