R-module Thom spectra

Samik Basu (U Copenhagen)

Wednesday 12th January, 2011 16:00-17:00 204


Let R be a commutative ring spectrum. Given a map f from X to BGL_1R one can construct the R-module Thom spectrum of f, Th(f), generalising the classical notion of the Thom spectrum of a spherical fibration in the case R=S^0. The Thom spectrum functor is symmetric monoidal making it very useful in the analysis of ring structures in the category of R-modules.

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