### Graduate Student Seminar, 5:00pm April 28, 2003, Hayes-Healy 229

#### Speaker:

Julie Bergner
#### Title:

Talkin' 'Bout Good Fibrations (and Other Aspects of Model Categories)
#### Abstract:

In the study of homotopy groups of topological spaces, three kinds of maps are
particularly important: fibrations, cofibrations, and weak homotopy equivalences.
Viewing them as morphisms in the category of topological spaces, the ideas
behind them can be generalized to other categories, leading to the notion of a
model category structure. The category of chain complexes of R-modules, for
example, has a nice model category structure relating to the study of
homological algebra. In my talk, I will use these examples to motivate the
definition of a model category and show why it is an interesting structure to study.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Wesley Calvert