Grothendieck-Witt groups and projective modules

by Prof. Jean Fasel (Ecole Polytechnique Federale de Lausanne (EPFL), Switzerland)

Friday 3 Sept 2010, 14:30 → 15:30 Asia/Kolkata

AG-69 (Colaba Campus)

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.