Dartmouth Dartmouth Mathematics Colloquium MATH

Thursday, May 8, 1997

4:00-5:00 pm

102 Bradley Hall

Professor Philip S. Hirschhorn

Wellesley College

speaks on

Localizing spaces and model categories

Abstract. We describe how algebraically localizing homotopy and homology groups of spaces led to "localizing" the spaces themselves. This is best understood as a localization of the homotopy category, but for this we must be careful about what we mean by "the homotopy category". The best way to make this clear is by noticing that we're really doing homotopy theory in a "model category", and that we're "localizing" the model category structure.

Tea. High tea will be served at 3:30 pm in the Lounge.
Emmy's. Certain refreshments will be available at Emmy's after the talk.
Host. Patrick Tai is the host. Anybody who is interested in having dinner with the speaker should contact Patrick at 646-2635.