Picture of Egor Pifagorov
Max Karoubi (Paris), "Quadratic forms and Bott periodicity"
by Egor Pifagorov - Monday, 10 September 2012, 01:32 PM
Коллоквиум лаборатории Чебышева
20 сентября 17:00, Матмех, 14 линия, д.29, ауд.14

Max Karoubi (Paris)

Quadratic forms and Bott periodicity

Abstract: Bott periodicity has various formulations in homotopy
theory. We present here an interpretation in terms or quadratic forms
and symplectic structures. This can be translated in the framework of
Quillen's algebraic K-theory for classical groups. We also announce
the recent proof of two classical conjectures: the Quillen-Lichtenbaum
conjecture in hermitian K-theory and the homotopy limit problem for
the orthogonal group. We conclude by some examples of computations.