Conference: Geometric and Asymptotic Group Theory with Applications
会议:几何和渐近群理论及其应用
基本信息
- 批准号:0613035
- 负责人:
- 金额:$ 2.4万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2006
- 资助国家:美国
- 起止时间:2006-08-01 至 2007-07-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This conference will be devoted to the study of a variety of topics in geometric and combinatorial group theory, with special emphasis on asymptotic and probabilistic methods and their applications. More specifically, this includes: group actions, quasi-isometries, isoperimetric functions, growth, asymptotic invariants, random walks, algorithmic problems, etc.Applications will be emphasized, especially those concerning complexity theory and information security, in particular theoretical cryptography. Cryptographic protocols have become a key element of information systems, protecting data and communications to ensure confidentiality, integrity and authenticity of data. While most symmetric key systems have relatively modest mathematical requirements, asymmetric or public key cryptosystems have become increasingly mathematically sophisticated, and, in particular, the emerging ``non-commutative cryptography" exploits various properties of non-commutative infinite groups in very non-trivial ways. Building a solid mathematical foundation for the use of infinite groups in cryptography inevitably involves operating with various asymptotic and statistical aspects of infinite groups, and this iswhere modern group theory finds its important applications. More information an be found on the conference web sitehttp://www.epsem.upc.edu/~gagta/
本次会议将致力于研究各种主题的几何和组合群论,特别强调渐近和概率方法及其应用。更具体地说,这包括:组行动,准等距,等周函数,增长,渐近不变量,随机游走,算法问题等应用将被强调,特别是那些有关复杂性理论和信息安全,特别是理论密码学。密码协议已成为信息系统的关键要素,保护数据和通信,以确保数据的机密性、完整性和真实性。虽然大多数对称密钥系统具有相对适度的数学要求,但非对称或公钥密码系统在数学上变得越来越复杂,特别是新兴的“非交换密码学”以非常重要的方式利用了非交换无限群的各种性质。为在密码学中使用无限群建立坚实的数学基础不可避免地涉及到无限群的各种渐近和统计方面的操作,这就是现代群论的重要应用。更多的信息可以在会议网站上找到http:www.epsem.upc.edu/~gagta/
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Vladimir Shpilrain其他文献
Generalized primitive elements of a free group
- DOI:
10.1007/s000130050264 - 发表时间:
1998-10-01 - 期刊:
- 影响因子:0.500
- 作者:
Vladimir Shpilrain - 通讯作者:
Vladimir Shpilrain
On Lie Algebras with Wild Automorphisms
- DOI:
10.1007/bf03322253 - 发表时间:
2013-04-17 - 期刊:
- 影响因子:1.200
- 作者:
Yuri Bahturin;Vladimir Shpilrain - 通讯作者:
Vladimir Shpilrain
On monomorphisms of free groups
- DOI:
10.1007/bf01195127 - 发表时间:
1995-06-01 - 期刊:
- 影响因子:0.500
- 作者:
Vladimir Shpilrain - 通讯作者:
Vladimir Shpilrain
Recognizing automorphisms of the free groups
- DOI:
10.1007/bf01196426 - 发表时间:
1994-05-01 - 期刊:
- 影响因子:0.500
- 作者:
Vladimir Shpilrain - 通讯作者:
Vladimir Shpilrain
Linear average-case complexity of algorithmic problems in groups
群中算法问题的线性平均情况复杂度
- DOI:
10.1016/j.jalgebra.2025.01.013 - 发表时间:
2025-04-15 - 期刊:
- 影响因子:0.800
- 作者:
Alexander Olshanskii;Vladimir Shpilrain - 通讯作者:
Vladimir Shpilrain
Vladimir Shpilrain的其他文献
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{{ truncateString('Vladimir Shpilrain', 18)}}的其他基金
International Conference on Geometric and Asymptotic Group Theory with Applications
几何和渐近群理论及其应用国际会议
- 批准号:
1928295 - 财政年份:2019
- 资助金额:
$ 2.4万 - 项目类别:
Standard Grant
Collaborative Research: Theoretical and experimental approaches to search problems in group theory
协作研究:群论中搜索问题的理论和实验方法
- 批准号:
0914778 - 财政年份:2009
- 资助金额:
$ 2.4万 - 项目类别:
Standard Grant
Conference: Geometric and Asymptotic Group Theory with Applications, September 15-19, New York, NY
会议:几何和渐近群理论及其应用,9 月 15 日至 19 日,纽约州纽约
- 批准号:
0805552 - 财政年份:2008
- 资助金额:
$ 2.4万 - 项目类别:
Standard Grant
Collaborative Research: Generic Properties of Groups, Geometric Invariants and Algorithms
协作研究:群的泛性、几何不变量和算法
- 批准号:
0405105 - 财政年份:2004
- 资助金额:
$ 2.4万 - 项目类别:
Standard Grant
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