Topology of the Shift Locus

Geometry & Topology
Event time: 
Tuesday, February 13, 2018 - 4:15pm to 5:15pm
Juliette Bavard
Speaker affiliation: 
Event description: 

The "shift locus" of degree d is a subset of the space of one variable complex polynomials of degree d.In this talk, I will first recall some dynamical properties of the polynomials of this subset, and then explain a current project joint with Calegari, He, Koch and Walker, in which we are trying to understand the fundamental group of this "shift locus" in terms of "braids on a Cantor set".