Presented by:
Birgit Richter
Date:
Tuesday 18th December 2018 - 15:30 to 16:30
Venue:
INI Seminar Room 2
Abstract:
Rationally, the homotopy type of any
reasonable space is completely determined by (a minimal model of) the Sullivan
cochain algebra of the space. If you want to be non-rational, then Mandell's
result says that the $E_\infty$-algebra structure of the cochains determines
the homotopy type. In joint work with Steffen Sagave we construct a strictly
commutative model of the cochains of a space using the diagram category of
finite sets and injections in order to free things up. We show that this cochain
algebra determines the homotopy type of (finite type, nilpotent) spaces
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