Charles De Clercq
Équipe Topologie Algébrique
Université Sorbonne Paris Nord
Institut Galilée, LAGA, UMR 7539
Case C3
Ave J.B. Clément
F93430, Villetaneuse
France
Email : declercqØmath.univparis13.fr

Bureau D409

I learned mathematics in Paris and my mathematical family, N. Karpenko, A. Merkurjev, A. Suslin and A. Yakovlev come from St. Petersburg, Russia.
I mainly work around the two following areas of research :
 with Mathieu Florence, we introduced the notion of smooth profinite groups, whose purpose is to try to deduce from an enhancement of Kummer theory for fields lifting theorems for mod p Galois representations, aiming at providing a proof of a generalized version of the Norm Residue Isomorphism Theorem, proved by Rost, Suslin, Voevodsky and Weibel (also known as the BlochKato conjecture).

I study motives associated to projective homogeneous varieties, an area of research which has recently shown to be very fruitful in solving classical conjectures around quadratic forms, SeveriBrauer varieties and central simple algebras. I introduced the notion of motivic equivalence for semisimple algebraic groups, and constructed the discrete invariants controlling this equivalence, providing a complete classification of these groups in terms of the motives of their twisted flag varieties.
