Computational geometry of numbers, cohomology of modular groups and applications

来源 :Workshop on Computational Problems in Number Theory(数论中的计算问题 | 被引量 : 0次 | 上传用户：wo402179168

【摘要】

：

We will give an overview on euclidean and hermitian lattices in number theory,and in particular on reduction theories with a focus on Vonoro(i) reduction.

【作者】

：

Philippe Elbaz-Vincent

【机构】

：

InstitutFourier,Grenoble

【出处】

：

Workshop on Computational Problems in Number Theory(数论中的计算问题

【发表日期】

：

2015年7期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

We will give an overview on euclidean and hermitian lattices in number theory,and in particular on reduction theories with a focus on Vonoro(i) reduction.

其他文献

水溶性聚合物高效荧光纳米点合成与性能研究

　　碳基荧光材料具有生物相容性好，毒性小等特点，可用于生物标记与成像，也是用于制备功能性聚合物微纳复合结构的理想构筑基元。本报告将简要介绍碳基荧光纳米点，包括聚合物荧光

会议

高效荧光碳点聚合物纳米点水相合成交联增强效应(CEE)

Quantum computational number theory

It is well-known that number theory abounds problems that are relatively easy to state but often very hard to solve.

会议

Serres uniformity conjecture

Serres Uniformity Conjecture is a statement concerning the Galois action on torsion points of elliptic curves defined over number fields.

会议

How big is 4

The aim of the talk is to introduce some arithmetic properties of plane curves over finite fields,in particular to look at the distribution of their number of p

会议

Weil descent, last fall degree and the elliptic curve discrete logarithm problem

The elliptic curve discrete logarithm problem (ECDLP) is a computational problem that has many applications in cryptography.

会议

Computing functions on Jacobians and their quotients

We show how to efficiently compute functions on Jacobian varieties and their quotients.We deduce a quasi-optimal algorithm to compute (l,l) isogenies between Ja

会议

Atypical average of root numbers of families of elliptic curves

This is a work in progress with Chantal David and Sandro Bettin.Is it possible to find families of elliptic curve such that the parity of the rank over Q(t) doe

会议

Geometry and arithmetic of curves over finite fields

The goal of this course is to make the audience familiar with various properties and results related to curves over finite fields.

会议

Explicit modular parametrization and Heegner point computation

Let E be an elliptic curve defined over Q with conductor N.From the modularity of E,it is known that there exists a rational map φ:X0(N)→E so-called the modul

会议

New numerical features in PariGP

We describe three new powerful multiprecision tools available in the Pari/GP package.First,new integration,summation,and extrapolation methods.

会议

Computational geometry of numbers, cohomology of modular groups and applications

与本文相关的学术论文