Charles De Clercq

Équipe Topologie Algébrique


Prépublications :

  • [arxiv] A-upper motives
    with Nikita Karpenko and Anne Quéguiner-Mathieu


  • [arxiv] Higher Tate traces of Chow motives
    with Anne Quéguiner-Mathieu


  • [arxiv] Smooth Profinite Groups, I: Geometrizing Kummer Theory
               with Mathieu Florence

  • [arxiv] Smooth Profinite Groups, III: The Smoothness Theorem
               with Mathieu Florence

    The proofs of Smooth Profinite Groups I and III have been checked, but III uses statements from Smooth Profinite Groups II whose proof contain a gap. Therefore, the series thus not provide a complete proof of the smoothness conjecture, for the moment. We hope to fix this soon.

  • [arxiv] Lifting Theorems and Smooth Profinite Groups
               with Mathieu Florence

Publications :

  • [PDF] Lifting vector bundles to Witt vector bundles
               with Mathieu Florence and Giancarlo Lucchini Arteche

  • [PDF] Critical varieties and motivic equivalence for algebras with involution
               with Anne Quéguiner-Mathieu and Maksim Zhykhovich

  • [PDF] Lifting low-dimensional local systems
               with Mathieu Florence

  • [PDF] On the Tits p-indexes of semisimple algebraic groups
               with Skip Garibaldi

  • [PDF] Équivalence motivique des groupes algébriques semisimples
               

  • [PDF] Upper motives of products of projective linear groups
               

  • [PDF] Motivic rigidity of Severi-Brauer varieties
               

  • [PDF] A going down theorem for Grothendieck Chow motives
               

  • [PDF] Classification of upper motives of algebraic groups of inner type A_n
               

  • [PDF] Motivic decompositions of projective homogeneous varieties and change of
               coefficients
               

Projets interdisciplinaires :

  • [PDF] Surgery of the recurrent dislocation of low jaw, after Girard and Leclerc
               with Professor Natsuki Segami