Sarah Yeakel

Title: Operads with homological stability
Abstract: For a carefully constructed operad M of surfaces, Tillmann showed that algebras over M group complete to infinite loop spaces. This result relies, in part, on Harer’s homological stability theorem for mapping class groups of surfaces. We will review Tillmann’s result and provide a more general framework which shows that operads satisfying a certain homological stability condition detect infinite loop spaces. This is joint work with M. Basterra, I. Bobkova, K. Ponto, and U. Tillmann.