Bloch's conductor formula and non-commutative geometry

Vortrag von Prof. Dr. Bertrand Toen

Sprecher eingeladen von: Prof. Dr. Joseph Ayoub

Datum: 06.11.17  Zeit: 13.15 - 14.45  Raum: Y27H25

The Bloch conductor formula expresses the variations of Euler characteristics in a family of proper varieties when the parameter specializes to a singular value. In this talk, I will present a general approach to this conjecture based on ideas coming from non-commutative geometry. I will explain how we can use the stable homotopy theory of schemes in order to obtain a trace formula for non-commutative spaces, and how this trace formula can be applied to the setting of the Bloch's conductor formula.