Groups and Dynamics Seminar

Date: May 4, 2022

Time: 3:00PM - 4:00PM

Location: online

Speaker: Danny Calegari, U Chicago

Title: Sausages and Butcher Paper

Abstract: For each q>1 the Shift Locus of degree q is the space of monic depressed degree q polynomials in one complex variable for which every critical point is in the attracting basin of infinity. We give an explicit description of the Shift Locus as a (combinatorial) building whose pieces turn out to be homeomorphic to affine complex algebraic varieties.