Higher categories and comparisons

Speaker:

Akhil Mathew and Chris Schommer-Pries

Zugehörigkeit:

UC Berkeley (A.M.) and MPIM (C.S.-P.)

Datum:

Mon, 01/06/2015 - 16:30 - 18:00

Location:

MPIM Lecture Hall [2]

Parent event:

MPIM Topology Seminar [3]

Part 1: Rezk (\infty,2)-categories
We will discuss Rezk's cartesian presentation of the model or (\infty, 1)-category of (\infty, 2)-categories as simplicial presheaves on the category \Theta_2 which satisfy Segal and completeness conditions.

Part 2: n-Fold complete Segal spaces
Rezk's theory of (infty,n)-categories will be compared with Barwick's n-fold complete Segal spaces. We will discuss the equivalence between these theories, and, if time permits, discuss other comparisons and unicity results.