WSU

Department of Mathematics
Topology Seminar 2006-2007

Wayne State University
College of Science


All talks are held Tuesdays at 2:00 PM in 1285 FAB, unless otherwise noted.
Contact Dan Isaksen (isaksen AT math.wayne.edu) for more information

All seminars
Colloquium
Mathematics Department home page



Date: December 4, 2007

Speaker: Andrew Salch

Title: Local class field theory in the stable homotopy of spheres

Abstract:  Making extensive computations of the stable homotopy of spheres requires that one be able to compute the cohomology of the moduli stack of formal groups. "Chromatic theory" is the name for the batch of techniques developed by homotopy theorists for doing precisely this. We will sketch some of the methods and results of local class field theory (a part of algebraic number theory which has produced some very powerful theorems) and some of the methods and results of chromatic theory; present some new (topological) results which use the techniques of chromatic theory together with the techniques of local class field theory; and, time willing, we will say a few words about the role of Lubin-Tate space in
both stable homotopy theory and in the Jacquet-Langlands and Langlands correspondences, higher generalizations of local class field theory.