Geometric and Asymptotic Group Theory with Applications 2020

该奖项用于资助参加将于2020年6月22日至26日在苏格兰爱丁堡国际数学科学中心(ICMS)举行的几何与渐近群论及其应用(GAGTA 2020)会议的美国与会者。几何和渐近群论本质上是跨学科的，研究人员攻击类似的问题，但使用来自非常不同领域的技术(如拓扑、几何或组合技术)。会议系列吸引了这一主题的顶级演讲者和研究人员，并促进了与理论计算机科学、逻辑、组合学、密码学等的联系。这次会议将是GAGTA年度会议的第14次迭代。这是关于群论应用的最长年度国际会议系列。这笔赠款将允许受资助的美国参与者了解该领域的新发展，交流他们的研究成果，并引发新的研究合作。基金将支付15名美国与会者的旅费和当地住房费用，其中包括4名演讲者。资金将优先提供给初级研究人员和其他资金来源有限的研究生，以及那些代表性不足的少数民族、妇女和退伍军人。几何群论具有越来越多的多样性，本次会议旨在通过选择演讲者和与会者来进一步促进这一点。这次会议将有大约25位受邀演讲者的演讲，以及一个下午来自初级研究人员的简短演讲。组织者尤其努力让组织者和演讲者之间体现出多样性。讨论的主题将包括：几何群论和计算机科学中的组合结构(例如CAT(0)几何、准中值空间、部分交换结构)；计算群论中的复杂性(实践和理论方面，如一般复杂性、低回路复杂性、群论中的NP完全问题)；以及群和代数的一阶理论和算术(例如自由群、双曲群、可解群等)。与会者将有充分的时间相互讨论，从而建立长期的合作和工作关系。会议将有助于传播基本思想和最新研究进展。将有一场关于Coxeter群和离散几何在癌症肿瘤病毒发展和生长建模中的应用的公开讲座。Https://sites.google.com/view/gagta2020This奖反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award funds US-participants attending the conference, Geometric and Asymptotic Group Theory with Applications (GAGTA 2020), to be held at the International Center for Mathematical Sciences (ICMS) in Edinburgh, Scotland 22--26 June 2020. Geometric and asymptotic group theory is intra-disciplinary by nature, with researchers attacking similar problems but using techniques from vastly different areas (such as topological, geometric, or combinatorial techniques). The conference series draws top speakers and researchers in the subject and fosters connections to theoretical computer science, logic, combinatorics, cryptography, and many more. The conference will be the 14th iteration of the annual GAGTA meetings. It is the longest-running annual international conference series on the applications of group theory. The grant will allow the supported US-participants to learn about new developments in the field, to communicate their research results, and to spark new research collaborations.Funds will cover travel and local housing expenses of 15 US-based attendees, including four speakers. Priority for funding will be given to junior researchers and graduate students with limited sources of other funding, and among those to underrepresented minorities, women, and veterans. Geometric group theory enjoys a growing diversity, which this conference aims to promote further through the selection of the speakers and participants. The conference will have approximately 25 talks from invited speakers and an afternoon of short talks from junior researchers. The organizers strive particularly to have diversity reflected among the organizers and the speakers. The topics discussed will include: combinatorial structures in geometric group theory and computer science (e.g. CAT(0) geometry, quasi-median spaces, partially commutative structures); complexity in computational group theory (practical and theoretical aspects such as generic complexity, low circuit complexity, NP-complete problems in group theory); and the first-order theory of groups and algebras, and arithmetic (e.g. in free groups, hyperbolic groups, solvable groups etc.). Participants will be given ample time to discuss with each other, thus forging long-term collaborations and working relationships. The conference will help disseminate fundamental ideas and newest research developments. There will be a public lecture on the applications of Coxeter groups and discrete geometry to the modeling of virus development and growth of cancer tumors. https://sites.google.com/view/gagta2020This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.