Tamely Ramified Extension’s Structure

Normic continued fractions in totally and tamely ramified extensions of local fields

The goal of this paper is to introduce a new way of constructing continued fractions in a Galois, totally and tamely ramified extension of local fields. We take a set of elements of a special form using the norm of that extension and we show that the set such defined is dense in the field by the means of continued fractions.

Galois Structure of Zariski Cohomology for Weakly Ramified Covers of Curves

We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani’s computation of the Galois module structure of the space of global meromorphic differentials which are logarithmic along the ramification locus from the tamely ramified to the weakly ramified case. Mathematics Subject Classifica...

Representation Theory for Division Algebras over Local Fields ( Tamely Ramified Case

Aside from intrinsic interest there are three (related) reasons for studying the unitary representations of £-adic division algebras. (1) They provide heuristics for more difficult (e.g., noncompact) £-adic groups. (2) They would be basic building blocks in a theory of representations of reductive algebraic £-adic groups based on the philosophy of cusp forms. (3) There seem to be deep relations...

Decomposition types in minimally tamely ramified extensions of

Distinguished positive regular representations

Let $G$ be a tamely ramified reductive $p$-adic‎ ‎group‎. ‎We study distinction of a class of irreducible admissible representations‎ ‎of $G$ by the group of fixed points $H$ of an involution‎ ‎of $G$‎. ‎The representations correspond to $G$-conjugacy classes of‎ ‎pairs $(T,phi)$‎, ‎where $T$ is a‎ ‎tamely ramified maximal torus of $G$ and $phi$ is a quasicharacter‎ ‎of $T$ whose restriction t...