ABSTRACT: Quillen pairs and equivalences is an elegant way to deal with functors which you expect to produce an equivalence of homotopy categories or at least a functor between such. In topology, a classical example of Quillen equivalence is provided by the functors of singular chains and geometric realization. In algebra, the functors "tensor" and Hom form a Quillen pair. A new example of a classifying space functor and the loop space functor will also be discussed.

Rescheduled Date: April 15, 2004

Time: 9:30 - 10:30
(Notice unusual day and time)
511 Lake Hall