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.

该奖项为美国的参与者提供了部分支持，该会议题为“几何结构的组合和代数方面”，该会议将于2019年7月22日至2019年7月26日在泰国清迈的清迈大学举行。 这次会议旨在基于伊利诺伊大学，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，以及来自欧洲，亚洲和北美的更广泛的合作。会议将包括针对研究生和博士后的一般研究演讲和迷你课程讲座，以及研究生和博士后的五分钟闪电演讲，为他们提供了分享他们的研究并与其他参与者进行对话的机会。 该场地将为美国研究人员提供与来自欧洲和亚洲国家的同行建立新的联系，尤其是来自后一种国家的人，他们可能不可行在国际上旅行。标题所暗示，会议的主题非常广泛，涉及诸如流形的几何结构，包括表面上的双曲线和平坦结构，由代表到其他谎言组引起的异国几何结构以及由几何群体理论引起的粗糙几何结构。 选择演讲者来代表此列表中主题的连贯组合，以最大程度地提高新的合作和交叉侵占的潜力。 例如，马洛尼（Maloni）的研究在双曲线和混合签名几何结构中都与布里奇曼（Bridgeman）和金丝雀（Canary）在更高的Teichmueller理论以及双曲线几何形状上的工作非常好。 PI与Chiang Mai，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位置的研究人员之间的合作也将为新合作提供一个起点。 有关会议的其他详细信息可以在会议网站上找到：http：//www.math.science.cmu.ac.ac.ac.th/lst/index.phpthis奖反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛影响的审查标准来通过评估来通过评估来支持的。