Model category structures and spectral sequences

Abstract: I'll discuss a family of model category structures such that weak equivalences are morphisms inducing an isomorphism at a fixed stage of a spectral sequence. The talk will focus on joint work with Xin Fu, Ai Guan and Muriel Livernet, giving such model structures for multicomplexes. A multicomplex (also known as a twisted chain complex) is an algebraic structure generalizing the notion of a chain complex and that of a bicomplex. These structures have arisen in many different places and play an important role in homological and homotopical algebra.

algebraic topology

Audience: researchers in the topic

Online algebraic topology seminar

Series comments: The seminar is hosted on Zoom. To minimise security concerns, access information for the Zoom meeting will only be sent out through the mailing list approximately an hour before the seminar is due to begin, details of which are below.

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