University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > A Riemann-Hilbert problem for BPS structures -- PLEASE NOTE UNUSUAL ROOM/TIME

A Riemann-Hilbert problem for BPS structures -- PLEASE NOTE UNUSUAL ROOM/TIME

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

Given an algebra A and a set of automorphisms, one can define a Riemann-Hilbert (RH) problem, ultimately aimed to find meromorphic connection on the Aut(A)-principl bundle over C with prescribed generalised monodromy. It is of particular interest considering a family of “isomonodromic” RH problems on A, parametrised by a complex manifold M, as this induces interesting geometric structures on the space of parameters M. In the context of stability conditions, there is a Riemann-Hilbert problem naturally attached to a so-called BPS structure, formalising a stability condition on a CY3 category endowed with a generalised Donaldson-Thomas theory counting semistable objects. The wall-crossing formulae from Donaldson-Thomas theory are interpreted as isomonodromy conditions. I will introduce this topic and discuss the solution in one special example.

NOTE : please notice this will take place at 2pm in Watson LTB .

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

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