Conference: Geometric and Asymptotic Group Theory with Applications, September 15-19, New York, NY

“几何与渐近群论及其应用”会议将致力于研究几何与组合群论中的各种主题，特别强调渐近和概率方法及其应用。更具体地说，主题包括：群作用、拟等距、等距函数、增长、渐近不变量、随机漫步、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。为无限群在密码学中的应用建立一个坚实的数学基础，将不可避免地涉及无限群的各种渐近和统计方面的操作，这就是现代群论发现其重要应用的地方。与其他关于几何和/或渐近群论的会议相比，这次会议的突出之处在于它强调了在其他科学领域和现实生活问题上的应用。更具体地说，我们将强调涉及复杂性理论和信息安全的应用，特别是密码学。密码学和密码学协议已经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（块密码，如DES和AES以及流密码）具有相对适度的数学要求，但非对称或公钥系统以及加密协议在数学上已经变得越来越复杂，特别是，新兴的“非交换密码”以非常重要的方式利用了非阿贝尔无限群的各种特性。

The conference on "Geometric and Asymptotic Group Theory with Applications" will be devoted to the study of a variety of topicsin geometric and combinatorial group theory, with special emphasis on asymptotic and probabilistic methods and their applications.More specifically, the topics include: group actions, quasi-isometries, isoperimetric functions, growth, asymptotic invariants, randomwalks, algorithmic problems, etc. Applications will be emphasized, especially those concerning complexity theory and information security. Building a solid mathematical foundation for the use of infinite groups in cryptography will inevitably involve operating with various asymptotic and statistical aspects of infinite groups, and this is where modern group theory finds its important applications.What makes this conference stand out compared to other conferences on geometric and/or asymptotic group theory is the emphasis onapplications to other areas of science and to real-life problems. More specifically, we are going to emphasize applications thatconcern complexity theory and information security, in particular cryptography. Cryptography and cryptographic protocols have becomea key element of information systems, protecting data and communications to ensure confidentiality, integrity and authenticityof data. While most symmetric key systems (block ciphers such as DES and AES and stream ciphers) have relatively modest mathematical requirements, asymmetric or public key systems, as well as cryptographic protocols, have become increasingly mathematically sophisticated, and, in particular, the emerging "non-commutative cryptography" exploits various properties of non-abelian infinite groups in very non-trivial ways.