Conference: Moving to higher rank: from hyperbolic to Anosov

会议：迈向更高级别：从双曲线到阿诺索夫

• 批准号: 2350423
• 负责人: Ilesanmi Adeboye
• 金额: $ 4万
• 依托单位: Wesleyan University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-07-01 至 2025-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2350423&HistoricalAwards=false
• 关键词: Conference; Moving; higher; rank; hyperbolic

This award supports participation of US based mathematicians in the conference entitled "Moving to higher rank: from hyperbolic to Anosov," which will take place in Centraro, Italy, from July 15- 19, 2024. The conference will bring together researchers and students from the classical field of hyperbolic geometry and the more recent area of higher Teichmuller theory to explore and further develop the rich connection between them. The conference will facilitate the exchange of ideas, and promote collaboration between experts in both fields, while reinforcing cooperation between the US and European mathematical communities. The organizing committee will encourage and support broad and diverse participation, and the training of the new generation of researchers.In recent decades, the areas of hyperbolic geometry and Higher Teichmuller theory have undergone a dynamic convergence of concepts, attracting numerous scholars from hyperbolic geometry who have shifted their focus toward higher rank phenomena. Concurrently, a new generation of researchers has emerged, working at the juncture of these two domains. The conference will focus on how phenomena from hyperbolic geometry generalize to higher Teichmuller theory. Past success along these lines includes generalizations of Fenchel-Nielssen coordinates, Weil- Petersson geometry, Collar Lemmas, Length rigidity, and Patterson-Sullivan Theory. The conference will feature 18 research talks, and two lightening talk sessions for junior researchers. The URL for the conference website is https://tinyurl.com/hyp2anosov.This 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.

该奖项支持我们的数学家参加会议的参与，题为“从2024年7月15日至19日，将在意大利的Centrararo举行。该会议将促进思想的交流，并促进两个领域的专家之间的合作，同时加强美国和欧洲数学社区之间的合作。组织委员会将鼓励和支持广泛而多样化的参与，以及对新一代研究人员的培训。近几十年来，双曲线几何形状和更高的Teichmuller理论领域已经经历了概念的动态融合，吸引了肥压几何学的众多学者，这些学者已将注意力转移到更高的排名现象上。同时，新一代研究人员在这两个领域的关头工作。该会议将重点介绍来自双曲线几何形状的现象如何将其推广到更高的Teichmuller理论。沿着这些线路的过去成功包括Fenchel-Nielssen坐标的概括，Weil-Petersson几何形状，项圈引理，长度刚度和Patterson-Sullivan理论。该会议将进行18次研究演讲，并为初级研究人员举行了两个闪电谈话。会议网站的URL是https://tinyurl.com/hyp2anosov.this奖，反映了NSF的法定任务，并且使用基金会的知识分子优点和更广泛的影响审查标准，被认为值得通过评估来获得支持。