Bonn Topology Group - Abstracts

General Information - Members - Activities - Topology Seminar - Graduiertenkolleg

Talk

CHRIS SCHOMMER-PRIES (MPI): The Unicity of the homotopy theory of higher categories

Abstract

This talk will describe joint work with Clark Barwick, which addresses the comparison problem in higher category theory. We show that a simple axiomatization (just 4 axioms!) characterizes the homotopy theory of (infinity, n)-categories up to equivalence and, moreover, that the space on theories satisfying these axioms is B(Z/2)^n. This generalizes a theorem Toen when n=1, an it verifies two conjectures of Simpson. We also provide a large class of examples satisfying our axioms, including those of Joyal, Kan, Lurie, Rezk, and Simpson.

Back to seminar page