PIMS / AMI Seminar: Raphael Krikorian

I will discuss the following question: Is any smooth or analytic  orientation preserving diffeomorphism of the circle $f$ with an irrational rotation number $\alpha$ almost reducible in the sense that there exists a sequence of smooth or analytic conjugations $g_n$ such that $g_n^{-1}\circ f\circ g_n$ converges in the smooth topology to $x\mapsto x+\alpha$? I will also discuss the similar question for pseudo-rotations of the disk (orientation and area preserving diffeomorphisms of the 2-disk fixing the origin and the boundary without fixed points).