Speaker:	Danny Calegari (University of 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.