Colloquium abstracts

Jean Fasel
Ecole Polytechnique Federale de Lausanne, Switzerl
September 3, 2010

Grothendieck-Witt groups and projective modules:  We will present new developments in the theory of Grothendieck-Witt groups (aka Hermitian K-theory), and then give some nice applications. In particular, we will prove Suslin's conjecture that stably free modules of rank d-1 over a smooth affine algebra of dimension d over an algebraically closed field are free.