Motifs, realizations and motivic Galois groups

Peccot Lecture Series

Since 1885, thanks to an endowment from the family of mathematician Claude-Antoine Peccot, the Collège de France has awarded annual prizes to young mathematicians under the age of 30 who have distinguished themselves in theoretical or applied mathematics.

Joseph Ayoub is the winner of the Peccot Lecture Series for 2008-2009, and will give a series of 4 lectures in June 2009.

Abstract

At the end of the 90s, in their seminal paper, Morel and Voevodsky introduced A1-homotopy theory, intended to be for algebraic varieties what classical homotopy theory is for usual topological varieties. Their construction is natural and flexible, and the fact that we're considering algebraic varieties only comes into play occasionally..