Seminar
The matching condition for higher dimensional Riemann-Hilbert problems
by Leslie Molag (KU Leuven)
Location: 200B.02.14, Leuven
Time: Tuesday October 1, 2019 at
14:00
In a higher dimensional Riemann-Hilbert problem, matching the local parametrices with the global parametrix is often a major issue. In the existing literature the approaches to obtain the matching for specific higher dimensional RHPs are quite technical in nature and these are only for 3 x 3 or 4 x 4 RHPs. For RHPs of an even higher dimension the complexity of these methods seems to increase drastically. I will present a result that should resolve the problem of the matching for higher dimensional RHPs in natural situations, making such technical approaches unnecessary in the future. I prove that, in a general setting, it is possible to obtain a double matching, that is, a matching condition on two circles instead of one circle. I will discuss how this matching approach can be used to obtain local scaling limits.
