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On elliptic functions and tau-functions for the discrete Painleve equation of type E8

Andrew Kels
Institution: 
SiSSA
Location: 
A-136
Schedule: 
Tuesday, January 15, 2019 - 16:00
Tuesday, January 22, 2019 - 14:30
Abstract: 

In this talk I will introduce the concept of (Ohta-Ramani-Grammaticos) tau-functions on the E8 lattice.  I will introduce an elliptic hypergeometric integral, and show how the latter can be used to construct hypergeometric solutions for these tau-functions.  This talk is based on the speakers recent work (with Yamazaki), arXiv:1810.12103, which is in turn based on a work of Noumi, arXiv:1604.06869.

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