Dynamics Seminar

Event Information Rigidity and renormalization of smooth circle homeomorphisms
15:10 on Monday March 07, 2022
16:00 on Monday March 07, 2022
BA6183, Bahen Center, 40 St. George St.
Michael Yampolsky

University of Toronto

The rigidity problem for homeomorphisms is one of the most classical questions of low-dimensional dynamics. It asks, under what conditions, the combinatorial equivalence of two maps translates into a smooth conjugacy between them. Of particular interest is the case of smooth homeomorphisms with finitely many critical points (multicritical circle maps), because of its connection with Renormalization Theory. I will review the current state of the art and will present my recent work with I. Gorbovickis, which settles a major part of the rigidity problem for multicritical circle maps.