Algebra/Topology Seminar

Rune Haugseng (MPI Bonn): The higher Morita category of E_n-algebras

Abstract: I will discuss a construction of a higher category of
E_n-algebras and iterated bimodules, generalizing the classical
bicategory of algebras and bimodules. This leads to generalizations of
the Picard and Brauer groups, which have been studied in stable
homotopy theory as interesting invariants of ring spectra, and should
also lead to an "algebraic" construction of factorization homology as
an extended topological quantum field theory.