Workshop, Alexander Gorsky: Dualities in the integrable many-body systems on the way to p-adics

Speaker
Alexander Gorsky, IITP, Moscow

Abstract
I will discuss the dualities between the families of integrable systems. On one side of the dual pair there are many-body systems of Calogero-Moser and Ruijsenaars type while the different spin chains and KZ-type equations
on the other side. I will explain the conventional dualities between quantum models and explain how it can be generalized for modulo p^s case in the simplest Calogero case using recent results for solutions to KZ equations.