La ramification des extensions galoisiennes est déterminée par les discriminants de certaines sous-extensions
La résolution des conjectures d'Artin dans les cas ... et ... par les méthodes de Langlands
Le corps des normes de certaines extensions infinies de corps locaux; applications
Le plongement caloisien à noyau d'ordre premier et ses applications à la construction d'extensions non abéliennes
Lifting the field of norms
Let be a finite extension of . The field of norms of a -adic Lie extension is a local field of characteristic which comes equipped with an action of . When can we lift this action to characteristic , along with a compatible Frobenius map? In this note, we formulate precisely this question, explain its relevance to the theory of -modules, and give a condition for the existence of certain types of lifts.
Local Class Field Theory via Lubin-Tate Theory
We give a self-contained exposition of local class field theory, via Lubin-Tate theory and the Hasse-Arf theorem, refining the arguments of Iwasawa [9].
Local Leopoldt's problem for rings of integers in Abelian -extensions of complete discrete valuation fields.
Local p-dimensional Galois characters.
Logarithme p-adique, p-ramification abélienne et K ...