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Riemann-Hilbert problems from Donaldson-Thomas theory
Algebraic Geometry and Number Theory| Speaker: | Tom Bridgeland, University of Sheffield |
| Location: | 2112 MSB |
| Start time: | Thu, Apr 26 2018, 1:10PM |
The wall-crossing formula in generalized Donaldson-Thomas theory suggests a natural class of Riemann-Hilbert problems. They involve piecewise holomorphic functions from the complex plane into an algebraic torus with prescribed discontinuities along a collection of rays. I will start with the simplest example, which gives a fun undergraduate-style exercise in complex analysis. I will then explain the general context and sketch some more interesting examples.