23 June 2107; 14:30; Seminar room C3b/158
Rune Haugseng. Enriched infinity-operads.
Abstract: I will discuss joint work with Hongyi Chu setting up foundations for a theory of enriched infinity-operads. In cases of interest such as spectral operads and dg-operads this recovers the usual homotopy theory of enriched operads, but is far better behaved – for example, there are natural infinity-categories of algebras over enriched infinity-operads. Time permitting, I will also discuss work in progress describing enriched infinity-operads as monoids in symmetric sequences; this will hopefully be a good setting for understanding Koszul duality beyond characteristic zero.