Publications associées à Théorie des corps de classes

Dynamic Nuclear Polarization Efficiency Increased by Very Fast Magic Angle Spinning

David Lyndon Emsley, Moreno Lelli, Arthur César Pinon, Pierrick Berruyer, David Benjamin Roger Antoine Gajan

Dynamic nuclear polarization (DNP) has recently emerged as a tool to enhance the sensitivity of solid-state NMR experiments. However, so far high enhancements (>100) are limited to relatively low magnetic fields, and DNP at fields higher than 9.4 T signifi ...

American Chemical Society2017

Embeddings of maximal tori in classical groups over local and global fields

Eva Bayer Fluckiger, Ting-Yu Lee

Embeddings of maximal tori in classical groups over fields of characteristic not 2 are the subject matter of several recent papers. The aim of the present paper is to give necessary and sufficient conditions for such an embedding to exist, when the base fi ...

Turpion Ltd2016

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For~

q

a prime power, the discrete logarithm problem (DLP) in~

\F_{q}

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer~

x

such that

g^x = h

. We present an algorithm for computing discrete logarithm ...

2016

A variational investigation of the SU(N) Heisenberg model in antisymmetric irreducible representations

Jérôme Dufour

Motivated by recent experimental progress in the context of ultra-cold multi-colour fermionic atoms in optical lattices, this thesis investigates the properties of the antiferromagnetic SU(N) Heisenberg models with fully antisymmetric irreducible represent ...

EPFL2016

Upper bounds for Euclidean minima of abelian number fields

Eva Bayer Fluckiger, Piotr Aleksander Maciak

Le but de cet article est de donner des bornes supérieures pour les minima euclidiens de corps abéliens, en particulier dans le cas des corps abéliens de conducteurs des puissances de nombres premiers. ...

2015

On the discrete logarithm problem in finite fields of fixed characteristic

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For

q

a prime power, the discrete logarithm problem (DLP) in

\mathbb{F}_q

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer

x

such that

g^x = h

. We present an algorithm for computing discrete log ...

2015

Embedding functor for classical groups and Brauer–Manin obstruction

Eva Bayer Fluckiger, Ting-Yu Lee

Let K be a global field of characteristic not 2. The embedding problem for maximal tori in a classical group G can be described in terms of algebras with involution. The aim of this paper is to give an explicit description of the obstruction group to the H ...

2015

Isometries of quadratic spaces

Eva Bayer Fluckiger

Let k be a global field of characteristic not 2, and let f is an element of k[X] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the compl ...

European Mathematical Soc2015

Bounds for the Euclidean minima of function fields

Piotr Aleksander Maciak

In this paper, we define Euclidean minima for function fields and give some bound for this invariant. We furthermore show that the results are analogous to those obtained in the number field case. (C) 2013 The Authors. Published by Elsevier Inc. All rights ...

Academic Press Inc Elsevier Science2014

Embeddings Of Maximal Tori In Orthogonal Groups

Eva Bayer Fluckiger

We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic not equal 2 to contain a maximal torus of a given type. ...

Annales Inst Fourier2014

Théorie des corps de classes

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Dynamic Nuclear Polarization Efficiency Increased by Very Fast Magic Angle Spinning

Embeddings of maximal tori in classical groups over local and global fields

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

A variational investigation of the SU(N) Heisenberg model in antisymmetric irreducible representations

Upper bounds for Euclidean minima of abelian number fields

On the discrete logarithm problem in finite fields of fixed characteristic

Embedding functor for classical groups and Brauer–Manin obstruction

Isometries of quadratic spaces

Bounds for the Euclidean minima of function fields

Embeddings Of Maximal Tori In Orthogonal Groups

A variational investigation of the SU(N) Heisenberg model in antisymmetric irreducible representations

Embedding functor for classical groups and Brauer–Manin obstruction

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

Bounds for the Euclidean minima of function fields

Embeddings of maximal tori in classical groups over local and global fields

Isometries of quadratic spaces

On the discrete logarithm problem in finite fields of fixed characteristic

Embeddings Of Maximal Tori In Orthogonal Groups

Upper bounds for Euclidean minima of abelian number fields

Dynamic Nuclear Polarization Efficiency Increased by Very Fast Magic Angle Spinning