Conference on Complex Hyperbolic Geometry and Related Topics

该NSF奖项为美国参与者提供支持，以参加将于2022年7月4日至7月8日在Luminy/马赛（法国）的国际数学会议中心（CIRM）举行的“复杂双曲几何及相关主题”会议。资金将支付10至15名美国参与者的差旅和住宿费用，优先考虑研究生，博士后研究人员，其他早期职业数学家和代表性不足的群体成员。该奖项将加强美国研究生，博士后和其他初级数学家的教育和培训，让他们了解该领域的最新发展，满足来自世界各地，特别是欧洲和南美洲的社区成员，并发展他们的网络和潜在的合作。为了鼓励这一点，会谈的时间表将为与会者留出足够的时间进行非正式的会面和互动。将特别关注受资助参与者的多样性，特别是鼓励妇女和代表性不足的少数群体申请。复双曲空间，与李群PU（n，1）相关联的对称空间，是具有非常数负曲率的空间的最简单例子。它具有丰富的几何结构，来自于真实的和复杂几何之间的相互作用，但也比高阶对称空间中的平面提供的结构刚性小。从这个丰富的结构产生了大量的各种各样的问题，需要从复杂的几何，代数几何，微分几何，拓扑，群论，代数群等会议的技术将围绕以下三个主题：离散群和格; CR和接触几何;几何结构和字符品种。每个主题的主要专家和年轻研究人员将介绍他们最近的研究成果，并在整个会议期间与所有与会者进行非正式接触。会议网站是https://conferences.cirm-math.fr/2622.html.This奖反映了NSF的法定使命，并已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的支持。

This NSF award provides support for US-based participants to attend the conference “Complex hyperbolic geometry and related topics”, which will take place at the Centre International de Rencontres Mathematiques (CIRM) in Luminy/Marseilles (France) from July 4 to July 8, 2022. Funds will cover travel and lodging expenses of ten to fifteen US-based participants, with priority given to graduate students, postdoctoral researchers, other early-career mathematicians, and members of underrepresented groups. The award will enhance the education and training of US-based graduate students, postdocs and other junior mathematicians, by allowing them to learn about the latest developments in the field, meet members of the community from around the world, in particular Europe and South America, and develop their network and potential collaborations. To encourage this, the schedule of talks will leave plenty of time for participants to meet and interact informally with each other. Particular attention will be given to the diversity of supported participants, specifically by encouraging women and underrepresented minorities to apply. Complex hyperbolic space, the symmetric space associated with the Lie group PU(n,1), is the simplest example of a space with non-constant negative curvature. It enjoys a rich geometric structure coming from the interaction between real and complex geometry but is also less rigid than the structure provided by flats in higher rank symmetric spaces. From this rich structure arises a large variety of questions requiring techniques from complex geometry, algebraic geometry, differential geometry, topology, group theory, algebraic groups, etc. The conference will revolve around the following three themes: discrete groups and lattices; CR and contact geometry; geometric structures and character varieties. Leading experts as well as young researchers in each of these themes will present their recent research results and engage more informally with all participants throughout the conference. The conference website is https://conferences.cirm-math.fr/2622.html.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.