Algebra/Topology seminar

Speaker: Steffen Sagave

Title: Rigidification of homotopy coherent commutative multiplications

Abstract: The use of functors defined on the category I of finite sets and
injections makes it possible to replace E-infinity objects by strictly
commutative ones. For example, an E-infinity space can be replaced by
a strictly commutative monoid in I-diagrams of spaces. The
quasi-categorical version of this result is one building block for an
interesting rigidification result about multiplicative homotopy
theories: every presentably symmetric monoidal infinity-category is
represented by a symmetric monoidal model category.

This is report on joint work with Christian Schlichtkrull, with
Dimitar Kodjabachev, and with Thomas Nikolaus.