Thierry Robart (Howard University, USA)

On the invertibility of infinite dimensional matrices

There are several good reasons to be willing to enlarge the classical invertibility concept of infinite dimensional matrices. Some - and not the least - find their roots in the study itself of (generalized) symmetries of partial differential equations. In this talk I will propose a very natural definition for this extension (gamma-invertibility) and describe its main features. The concept of gamma-invertibility offers a great potential for new and profound researches. I will try to illustrate this last point with few examples.

This is a joint work with my colleague Richard Bourgin.