Topology Seminar - David White

March 30, 2015
Tuesday, March 31, 2015 - 3:00pm to 4:00pm
CH240
Math Sculpture

Title: Left proper model structures on algebras over colored operads

Speaker:  David White, Denison

Abstract:  We will recall the usual method, introduced by Schwede and Shipley, of transferring a model structure on a monoidal model category M to the category of P-algebras where P is a colored operad. We'll then discuss what hypotheses are needed on M so that the resulting model structure on P-algebras is left proper. We'll apply this machinery to the situations where P is a cofibrant colored operad, when P is the commutative monoid operad, and when P is the colored operad for non-reduced operads. We introduce the commutative monoid axiom and prove that the latter two situations inherit left proper model structures from M in the presence of this axiom and the hypothesis of h-monoidality. The primary application of this work is a proof due to Michael Batanin of the Baez-Dolan Stabilization Hypothesis.


 

S M T W T F S
 
 
 
 
 
1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
 
11
 
12
 
13
 
14
 
15
 
16
 
17
 
18
 
19
 
20
 
21
 
22
 
23
 
24
 
25
 
26
 
27
 
28
 
29
 
30
 
31