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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Generalized Quillen Cohomology

Presented by David Blanc, Haifa University, Israel

8 October 2007 16:15 in CG 91

In the 1960's, Quillen first formulated a general approach to
homology and cohomology in algebraic settings, with cohomology functors
represented by abelian group objects, and homology appearing as the
derived functors of abelianization. However, if we try to apply this
formula to topological spaces, we find the only abelian group objects
are Eilenberg-Mac Lane spaces, which yield ordinary cohomology. Here we
show how Quillen's approach may be extended to cover generalized
cohomolgy theories, such as K-theory, cobordism (in various flavours),
and so on, in a way that may help clarify the relationship between
cohomology and homology.

The talk will not assume any special knowledge of homotopy theory or
homotopical algebra.

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