Sander Kupers: Separation and the homology of E_2-algebras
Time: Tue 2016-10-04 13.15 - 15.00
Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University
Participating: Sander Kupers, University of Copenhagen
ABSTRACT: A cellular \(E_2\)-algebra is one obtained by iterated cell attachments in the category of \(E_2\)-algebras; just as any space is weakly homotopy equivalent to a cell-complex, any \(E_2\)-algebra is weakly equivalent to a cellular one. I will explain this notion, describe a homology theory which serves to find minimal \(E_2\)-cell structures, and describe applications of such cell structures to the homology of mapping class groups and general linear groups. This is joint work with S. Galatius and O. Randal-Williams.