Combinatorial and Algebraic Aspects of Geometric Structures

几何结构的组合和代数方面

• 批准号: 1922091
• 负责人: Christopher Leininger
• 金额: $ 3万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-05-01 至 2020-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1922091&HistoricalAwards=false
• 关键词: Combinatorial; Algebraic; Aspects; Geometric; Structures

This award provides partial support to U.S. based participants at a conference titled "Combinatorial and Algebraic Aspects of Geometric Structures" which will be held July 22 through July 26, 2019 at Chiang Mai University, in Chiang Mai, Thailand. This conference aims to build on existing collaborations between researchers at the University of Illinois, Chiang Mai University, National University of Singapore, and the University of Luxembourg, and more broadly from Europe, Asia, and North America. The conference will include general research talks and mini-course lectures aimed at graduate students and postdocs, as well as five-minute lightning talks by graduate students and postdocs, providing them an opportunity to share their research and spark conversations with other participants. The venue will provide the opportunity for US researchers to make new connections with their counterparts from European and Asian countries, in particular those from the latter countries for whom it may not be feasible to travel internationally. The theme of the conference, as the title suggests, is quite broad and involves topics such as geometric structures on manifolds, including hyperbolic and flat structures on surfaces, exotic geometric structures arising from representations into other Lie groups, and coarse geometric structures arising from geometric group theory. The speakers are chosen to represent a coherent mix of topics from this list, to maximize the potential for new collaborations and cross-fertilization of areas. For example, Maloni's research is in both hyperbolic and mixed-signature geometric structures meshes very well with Bridgeman and Canary's work on higher Teichmueller theory as well as hyperbolic geometry. Existing collaborations between the PI and researchers from Chiang Mai, Thailand, Singapore, and Luxembourg, as well as collaborations between researchers from those locations, will also provide a starting point for new collaborations. Additional details about the conference can be found on the conference website: http://www.math.science.cmu.ac.th/lst/index.phpThis 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.

该奖项提供部分支持，以美国为基础的参与者在题为“几何结构的组合和代数方面”的会议将于2019年7月22日至7月26日在清迈大学，在清迈，泰国举行。 本次会议旨在建立在伊利诺伊大学，清迈大学，新加坡国立大学和卢森堡大学的研究人员之间的现有合作，以及更广泛地来自欧洲，亚洲和北美。会议将包括针对研究生和博士后的一般研究讲座和迷你课程讲座，以及研究生和博士后的五分钟闪电演讲，为他们提供分享研究成果并与其他参与者进行对话的机会。 该地点将为美国研究人员提供与欧洲和亚洲国家的同行建立新联系的机会，特别是那些可能无法进行国际旅行的国家。会议的主题，正如标题所示，是相当广泛的，涉及的主题，如几何结构的流形，包括双曲和平面结构的表面，异国情调的几何结构所产生的陈述到其他李群，和粗糙的几何结构所产生的几何群论。 发言者的选择是为了代表这个列表中的主题的连贯组合，以最大限度地发挥新的合作和交叉领域的潜力。 例如，马洛尼的研究是在双曲和混合签名几何结构网格非常好与布里奇曼和金丝雀的工作更高的泰希穆勒理论以及双曲几何。 PI与来自清迈、泰国、新加坡和卢森堡的研究人员之间的现有合作，以及这些地区研究人员之间的合作，也将为新的合作提供一个起点。 有关会议的更多细节可以在会议网站上找到：http://www.math.science.cmu.ac.th/lst/index.phpThis奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。