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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Spectral curves, variational problems, and the hermitian matrix model with external source

## Spectral curves, variational problems, and the hermitian matrix model with external sourceAdd to your list(s) Download to your calendar using vCal - Andrei Martinez-Finkelshtein (Baylor University; University of Almeria)
- Tuesday 29 October 2019, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. CATW02 - Complex analysis in mathematical physics and applications We show that to any cubic equation from a special class (`a “spectral curve”) it corresponds a unique vector-valued measure with three components on the complex plane, characterized as a solution of a variational problem stated in terms of their logarithmic energy. We describe all possible geometries of the supports of these measures: the third component, if non-trivial, lives on a contour on the plane and separates the supports of the other two measures, both on the real line. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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