Riemann-Hilbert problems from DT theory

I will start by recalling what are Riemann-Hilbert problems in the usual sense, basic notions attached to them and where they appear. Then, we will describe the notion of (variation of) BPS structure and carefully go through the definition of the corresponding Riemann-Hilbert problem (in a slightly generalized sense), and its explicit solution in the "uncoupled" case (far from being representative, but nevertheless instructive). Connections to Gromov-Witten theory and the case of DT theory associated to quadratic differentials will be briefly sketched.

Contact Gaetan Borot (gborot@mpim-bonn.mpg.de) to get the access code.