Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Friday, January 12, 2007 - 07:00
Location: 
Kidd 364

Speaker Info

Institution: 
Institute of Systems Analysis, Russian Academy of Science
Abstract: 

The generalized hypergeometric function mFm-1 is the "closest relative" of the famous hypergeometric function of Gauss-Riemann. The rational Calogero-Mozer system is an integrable system of point-particles on the real line, which appears in a surprisingly vast array of different and seemingly unrelated areas of Mathematics. In this talk, I will show that a flow of the Calogero-Mozer system generates a symmetry of mFm-1. Applications of the symmetry include a non-trivial action of the quaternions on the direct sum of the solution space of the generalized hypergeometric equation and its dual and an elliptic generalization of Cauchy identity.