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Tau-function on Riemann surfaces
Mathematical Physics Seminar| Speaker: | Vladimir Fock, Université de Strasbourg and CNRS |
| Related Webpage: | https://irma.math.unistra.fr/~fock/ |
| Location: | 2112 MSB |
| Start time: | Fri, Nov 15 2019, 11:10AM |
Tau-functions of Sato are certain generating functions for solution of integrable PDE like KdV, Sine-Gordon etc. There are many versions of these functions and usually the definition is quite complicated and uses semi-infinite forms. We are going to give a simple definition for a tau-function as an algebro-geometric object. We will show also that a tau function gives a solution to a cluster integrable system - an integrable system generalizing relativistic affine Toda lattice.
There will be lunch after his talk at around 1pm.