Nome:

Laurent LAFFORGUE

Nato il:

6 Novembre 1966

A:

Antony (Francia)

Universitá:

Institut des Hautes Etudes Scientifiques

Established the Langlands Correspondences for a much wider class of cases than previously known. These correspondences connect arithmetic properties to analytic properties of some special group representations called automorphic representations. It was formulated by Robert Langlands at the end of the 1960's. In rank 1, this conjecture is nothing other than the now traditional "class field theory" of Emil Artin. In rank 2 and for number fields, the first great confirmations of this conjecture were the proof of the conjecture of Ramanujan per Pierre Deligne and the proof by Langlands itself of the conjecture of Artin except for a case.

Nome:

Vladamir VOEVODSKY

Nato il:

4 Giugno 1966

A:

Mosca

Universitá:

Harvard University