Time

Mar 4 2008 - 3:30pm - 4:30 pm

Location

DU 027

Speaker

Qayum Khan (Vanderbilt University)

Seminar Website

http://www.math.ohio-state.edu/~jlafont/TopSched.html

Abstract

Bass defined an exotic Nil-summand of the algebraic K-theory of a polynomial extension. Later, Waldhausen extended the definition to tensor algebras and defined an exotic Nil-summand of the algebraic K-theory of an injective amalgam of groups. The Nil-Nil theorem states, under a certain finiteness condition, that there is a natural isomorphism from the amalgam Nil to a tensor Nil. An important application is that the Farrell-Jones conjecture in algebraic K-theory can be sharpened from the family of virtually cyclic subgroups to the family of finite-by-cyclic subgroups of a discrete group G. This is joint work with J.F. Davis and A.A. Ranicki.