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The Erwin Schroedinger Institute for Mathematical Physics

Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics

Elliptic hypergeometric functions are a relatively new class of special functions which first appeared 30 years ago implicitly as “elliptic 6j symbols” in work on the Yang-Baxter equation by E. Date, M. Jimbo, A. Kuniba, T. Miwa, and M. Okado. Since then, they have been shown to be related to various areas of mathematics, including integrable systems, combinatorics and mathematical physics. This workshop brings together leading experts on elliptic hypergeometric functions from different areas. 


  • Elliptic integrable systems and elliptic Painlevé equations
  • Univariate and multivariate elliptic hypergeometric series and biorthogonal functions
  • Elliptic determinants and theta functions on root systems
  • Combinatorics of elliptic hypergeometric functions
  • Elliptic hypergeometric integrals in quantum field theory

Several participants will give introductory lectures and further talks. (For more details please visit the homepage of the workshop.)

Schedule (pdf)

Abstracts of talks (pdf)

Abstracts of posters (pdf)

At a glance

Type: Workshop
When: Mar 20, 2017 to
Mar 24, 2017
Where: ESI, Boltzmann Lecture Hall
Organizers: Christian Krattenthaler (U Vienna), Michael J. Schlosser (U Vienna), Masatoshi Noumi (Kobe U), Simon Ruijsenaars (U Leeds), Vyacheslav P. Spiridonov (JINR, Dubna and NRU HSE, Moscow), S. Ole Warnaar (U Queensland)
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More: Homepage