Combinatorial and Algebraic Aspects of Geometric Structures

该奖项为参加2019年7月22日至7月26日在泰国清迈清迈大学举行的题为“几何结构的组合和代数方面”的会议的美国与会者提供部分支持。本次会议旨在加强伊利诺伊大学、清迈大学、新加坡国立大学和卢森堡大学以及更广泛地说来自欧洲、亚洲和北美的研究人员之间的现有合作。大会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5分钟的闪电演讲，为他们提供与其他参与者分享他们的研究和引发对话的机会。该会场将为美国研究人员提供机会，与来自欧洲和亚洲国家的同行建立新的联系，特别是那些来自后两个国家的人，对他们来说，出国旅行可能不可行。正如标题所示，会议的主题相当广泛，涉及流形上的几何结构，包括曲面上的双曲和平面结构，从表示到其他李群的奇异几何结构，以及从几何群论产生的粗几何结构。演讲者被选为代表这一列表中的各种主题的连贯组合，以最大限度地发挥新合作和各领域交叉培养的潜力。例如，Maloni在双曲和混合签名几何结构方面的研究与Bridgeman和Canary在高阶Teichmueller理论以及双曲几何方面的工作非常吻合。国际和平研究所与清迈、泰国、新加坡和卢森堡的研究人员之间的现有合作，以及来自这些地区的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在会议网站上找到：http://www.math.science.cmu.ac.th/lst/index.phpThis奖项反映了美国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 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.