Time

Jan 31 2008 - 4:30pm - 5:30 pm

Location

MA 240

Speaker

Anatole Katok (Pennsylvania State University)

Abstract

I will survey different methods of establishing that two dynamical systems and, more generally, groups actions on compact manifolds, are differentiably conjugate. Those include among others regularity of the structural stability conjugacy, KAM and combinatorics of invariant foliations. In the last few years significant progress has been achieved in all these directions. In particular, I will consider situations when locally in the space of systems smooth conjugacy can be determined by moduli. One of attractive feature of the subject is that methods and techniques from vastly different areas are used, including classical analysis, algebraic K-theory and theory of infinite dimensional unitary representations of Lie groups.