Conference: Moving to higher rank: from hyperbolic to Anosov

该奖项支持美国数学家参加将于2024年7月15日至19日在意大利森特拉罗举行的题为“迈向更高级别：从双曲到阿诺索夫”的会议。这次会议将汇集来自双曲几何经典领域和较新的高等泰希穆勒理论领域的研究人员和学生，以探索和进一步发展它们之间的丰富联系。会议将促进思想交流，促进两个领域专家之间的合作，同时加强美国和欧洲数学界的合作。组委会将鼓励和支持广泛和多样化的参与，以及新一代研究人员的培训。近几十年来，双曲几何和高阶TeichMuller理论领域经历了概念的动态融合，吸引了众多双曲几何学者将重点转向更高级别的现象。与此同时，出现了新一代研究人员，他们在这两个领域的交界处工作。会议将集中讨论双曲几何现象如何推广到更高的泰希穆勒理论。过去的成功包括芬切尔-尼尔森坐标、Weil-Petersson几何、领子引理、长度刚性和Patterson-Sullivan理论的推广。会议将有18场研究讲座和两场针对初级研究人员的轻松演讲。会议网站的网址是https://tinyurl.com/hyp2anosov.This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 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.