EVENT DETAILS AND ABSTRACT

Title: Homotopic descent over monoidal model categories
Speaker: Kathryn Hess
Speaker Info: EPFL
Brief Description:
Special Note:
Abstract:

(Joint work with Patrick Müller.) In this talk I'll describe a general homotopy-theoretic framework for studying descent and completion, and the dual notions of codescent and cocompletion, in model categories enriched over monoidal model categories. In particular, this framework is applicable to categories enriched over simplicial sets, chain complexes or spectra. I'll construct general descent spectral sequences, explain how to interpret them in terms of derived completion and homotopic descent and relate them to generalized Adams spectral sequences. To conclude I'll sketch a couple of applications.