Publications related to Local class field theory

Less Is More: Enhancement of Second-Harmonic Generation from Metasurfaces by Reduced Nanoparticle Density

We investigate optical second-harmonic generation (SHG) from metasurfaces where noncentrosymmetric V-shaped gold nanoparticles are ordered into regular array configurations. In contrast to expectations, a substantial enhancement of the SHG signal is observ ...

2018

Ab initio study of electron energy loss spectra of bulk bismuth up to 100 eV

Iurii Timrov

The dynamical charge-density response of bulk bismuth has been studied within time-dependent density functional perturbation theory, explicitly accounting for spin-orbit coupling. The use of the Liouville-Lanczos approach allows us to calculate electron en ...

Amer Physical Soc2017

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

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

Cocycle growth for the Steinberg representation

Thibaut Dumont

This thesis investigates the growth of the natural cocycle introduced by Klingler for the Steinberg representation. When possible, we extend the framework of simple algebraic groups over a local field to arbitrary Euclidean buildings. In rank one, the grow ...

EPFL2016

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

Marginal Stability in Structural, Spin, and Electron Glasses

Matthieu Wyart, Markus Müller

We revisit the concept of marginal stability in glasses and determine its range of applicability in the context of an avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudogap in the distribution of ...

2015

Local Conformational Switching of Supramolecular Networks at the Solid/Liquid Interface

Klaus Kern, Magalí Alejandra Lingenfelder, Fernando Pablo Cometto

We use the electric field in a scanning tunneling microscope to manipulate the transition between open and close packed 2D supramolecular networks of neutral molecules in nonpolar media. We found that while the magnitude of the applied field is not decisiv ...

Amer Chemical Soc2015

L-2-Betti numbers and Plancherel measure

Henrik Densing Petersen, Alain Valette

We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Bet ...

Academic Press Inc Elsevier Science2014

Nilpotent -local finite groups

Jérôme Scherer

We provide characterizations of p-nilpotency for fusion systems and p-local finite groups that are inspired by known result for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate. ...

Springer2014

Local class field theory

Graph Chatbot

Chat with Graph Search

Less Is More: Enhancement of Second-Harmonic Generation from Metasurfaces by Reduced Nanoparticle Density

Ab initio study of electron energy loss spectra of bulk bismuth up to 100 eV

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

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

Cocycle growth for the Steinberg representation

On the discrete logarithm problem in finite fields of fixed characteristic

Marginal Stability in Structural, Spin, and Electron Glasses

Local Conformational Switching of Supramolecular Networks at the Solid/Liquid Interface

L-2-Betti numbers and Plancherel measure

Nilpotent -local finite groups

Ab initio study of electron energy loss spectra of bulk bismuth up to 100 eV

Marginal Stability in Structural, Spin, and Electron Glasses

Nilpotent -local finite groups

On the discrete logarithm problem in finite fields of fixed characteristic

Cocycle growth for the Steinberg representation

ON THE DISCRETE LOGARITHM PROBLEM IN FINITE FIELDS OF FIXED CHARACTERISTIC

L-2-Betti numbers and Plancherel measure

Local Conformational Switching of Supramolecular Networks at the Solid/Liquid Interface

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

Less Is More: Enhancement of Second-Harmonic Generation from Metasurfaces by Reduced Nanoparticle Density