Special Session 49: 

Generalized hypergeometric functions and integrable hydrodynamic type equations

Yuji Kodama
The Ohio State University
USA
Co-Author(s):    Yuji Kodama and Boris Konopelchenko
Abstract:
I begin to present a brief introduction of the Aomoto-Gelfand generalized hypergeometric (AGHG) functions and their confluences by means of the action of the centralizers of regular elements. The confluence then implies that the AGHG functions are now defined in a degenerate cell of the Grassmannian. I will then construct integrable hydrodynamic type systems defined on such cells.