Steffen Sagave (Nijmegen): Rigidification of homotopy coherent commutative multiplications
In this talk I will explain how 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: we show that every presentably
symmetric monoidal infinity-category is represented by a symmetric
monoidal model category. (This is based on joint work with
C. Schlichtkrull, with D. Kodjabachev, and with T. Nikolaus)
Published Sep. 27, 2017 11:44 AM
- Last modified Sep. 27, 2017 11:44 AM