PIMS / AMI Seminar: Raphael Krikorian

  • Date: 02/12/2016
  • Time: 15:00
Raphael Krikorian, Université de Cergy-Pontoise

University of Alberta


On almost reducibility in quasi-periodic dynamics


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).


Other Information: 

Location: CAB 657





Final scientific report available here.