Pierre Guillot

Current interests

Broadly speaking, I am interested in anything that can be related to the cohomology of groups. There is an introduction to the subject that I find most readable by Jon Carlson: DVI PDF. On Carlson's page you will also find lots of computer calculations which I find instructive.

Here's my CV, in English.

Computer calculations

Witt-invariants for links (joint with Gael Collinet).

Stiefel-Whitney classes, Chern classes and Steenrod operations for some 2-groups.

Papers

11. Examples of Sweedler cohomology in positive characteristic , preprint. Arxiv

10. (with J. Minac) Milnor K-theory and the graded representation ring, preprint. Arxiv

9. (with G. Collinet) A link invariant with values in the Witt ring, preprint. Arxiv Sage script

8. (with C. Kassel and A. Masuoka) Twisting algebras using non-commutative torsors,
to appear in Math. Zeit. Arxiv

7. (with C. Kassel) Cohomology of invariant Drinfeld twists on group algebras,
Int. Math. Res. Not. vol 2010, 2010. Arxiv

6. The computation of Stiefel-Whitney classes,
Ann. Inst. Fourier vol 59, 2009. Arxiv Journal.

5. Geometric methods for cohomological invariants,
Doc. Math. vol 12, 2007. Arxiv Journal

4. The representation ring of a simply connected Lie group as a lambda-ring,
Comm. Algebra vol 35 (3), 2007. Arxiv Journal

3. The Chow rings of G₂ and Spin(7),
J. reine angewand. Math. vol 604, 2007. Arxiv Journal Addendum

2. Steenrod operations on the Chow ring of a classifying space,
Adv. Math. vol 196 (2), 2005. Arxiv Journal

1. Chow rings and cobordism of some Chevalley groups,
Math. Proc. Cam. Phil. Soc. vol 136 (3), 2004. Arxiv Journal

Other

Survey on the theory of beta-rings: Adams operations in cohomotopy. Arxiv

Thesis : Algebraic cycles, cobordism, and the cohomology of classifying spaces DVI PDF

Groupe de travail "groupes arithmétiques et K-théorie algébrique": Intro, rappels sur les algèbres de Lie, ou bien tout.

The thesis is mostly articles 1 and 2 above put together. Probably easier to read though.