Abelian local p-class field theory.
An additive version of higher Chow groups
Chow groups with coefficients.
Dilogarithm, grassmannian complex and scissors congruence groups of algebraic polyhedra
Dualization in algebraic K-theory and the invariant e¹ of quadratic forms over schemes
In the classical Witt theory over a field F, the study of quadratic forms begins with two simple invariants: the dimension of a form modulo 2, called the dimension index and denoted e⁰: W(F) → ℤ/2, and the discriminant e¹ with values in k₁(F) = F*/F*², which behaves well on the fundamental ideal I(F)= ker(e⁰). Here a more sophisticated situation is considered, of quadratic forms over a scheme and, more generally, over an exact category with duality. Our purposes are: ...
Fonctions polylogarithmes, nombres polyzêtas et groupes pro-unipotents
Formules explicites pour le caractère de Chern en -théorie algébrique
Dans cet article on donne une formule explicite pour le caractère de Chern reliant la - théorie algébrique et l’homologie cyclique négative. On calcule le caractère de Chern des symboles de Steinberg et de Loday et on donne une preuve élémentaire du fait que le caractère de Chern est multiplicatif.
Galois module structure of Milnor -theory in characteristic .
Galois module structure of Milnor -theory mod in characteristic .
Generalized Artin-Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II.
Homology stability for orthogonal groups over algebraically closed fields
Isotropy of quadratic spaces in finite and infinite dimension.
Kato homology of arithmetic schemes and higher class field theory over local fields.
La conjecture de Milnor
Milnor’s conjecture on quadratic forms and motivic complexes
On the cycle map for products of elliptic curves over a p-adic field
On the Milnor -groups of complete discrete valuation fields.
On the structure of Milnor -groups of certain complete discrete valuation fields
For a typical example of a complete discrete valuation field of type II in the sense of [12], we determine the graded quotients for all . In the Appendix, we describe the Milnor -groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.
Some algebraic aspects of quadratic forms over fields of characteristic two.
Symbol lengths in Milnor -theory.