## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Three models for the homotopy theory of homotopy theories

**Speaker:** Julie Bergner

**Speaker Info:** University of Notre Dame

**Brief Description:**

**Special Note**:

**Abstract:**

Given any model category, or more generally, any homotopy
theory, one can obtain from it a simplicial category which encodes all
the homotopy theoretic information of the original homotopy theory.
Having a model category structure on the category of all (small)
simplicial categories is then a first step in studying the "homotopy
theory of homotopy theories." While this model category structure
does exist with appropriate weak equivalences, it would be helpful to
find Quillen equivalent model category structures in which
calculations are easier. I will discuss the simplicial category model
category structure as well as two model structures which are Quillen
equivalent to it: the complete Segal space model category structure on
simplicial spaces and the Segal category model category structure on
Segal precategories

**Date:** Monday, February 28, 2005

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

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