Seminar talk, 2 September 2009

Speaker: Sergey Igonin

Title: Coverings and the fundamental group in the category of partial differential equations. Part 6

Abstract:

Coverings in the category of partial differential equations are generalizations of Bäcklund transformations and Lax pairs from soliton theory. It is known that in topology coverings are determined by actions of the fundamental group. In the talk we continue to describe the analog of the fundamental group for the coverings in the category of partial differential equations. This analog is not a group but a system (often infinite dimensional) Lie algebras.