Jun 7 – 9, 2017
SISSA
Europe/Rome timezone

From matrix resolvents to tau functions

Jun 7, 2017, 11:30 AM
40m
005 (SISSA)

005

SISSA

via Bonomea 265, 34100, Trieste, Italy

Speaker

Dr Di Yang (Max Planck Institute for Mathematics)

Description

We introduce a simple method of computing tau functions for a wide class of integrable systems, including the Drinfeld--Sokolov hierarchy and the Toda lattice hierarchy. This method expresses the generating series of logarithmic derivatives of a tau function in terms of matrix resolvents. We also discuss possible extension of this method to other integrable systems. The talk is based on a series of joint works with Marco Bertola and Boris Dubrovin.

Primary author

Dr Di Yang (Max Planck Institute for Mathematics)

Presentation materials

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