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
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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
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Projets interdisciplinaires :
- [PDF] Surgery of the recurrent dislocation of low jaw, after Girard and Leclerc
with Professor Natsuki Segami
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