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Higher categories and comparisons

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Speaker: 
Akhil Mathew and Chris Schommer-Pries
Affiliation: 
UC Berkeley (A.M.) and MPIM (C.S.-P.)
Date: 
Mon, 01/06/2015 - 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

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. 
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