Conference on Complex Hyperbolic Geometry and Related Topics

复杂双曲几何及相关主题会议

• 批准号: 2225583
• 负责人: Julien Paupert
• 金额: $ 3.5万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-07-01 至 2024-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2225583&HistoricalAwards=false
• 关键词: Conference; Complex; Hyperbolic; Geometry; Related

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.

该NSF奖为美国与会者提供支持，以参加将于2022年7月4日至7月8日在法国马赛/卢米尼的国际伦孔特数学中心(CIRM)举行的“复杂双曲几何及相关主题”会议。基金将用于支付10到15名美国参与者的旅费和住宿费，优先考虑研究生、博士后研究人员、其他职业生涯早期的数学家和代表性不足群体的成员。该奖项将加强对美国研究生、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，会见来自世界各地的社区成员，特别是欧洲和南美洲，并发展他们的网络和潜在的合作。为了鼓励这一点，会谈的日程安排将为与会者留出充足的时间，让他们彼此非正式地会面和互动。将特别注意得到支助的参与者的多样性，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，即与李群PU(n，1)相关的对称空间，是具有非常数负曲率的空间的最简单的例子。它具有丰富的几何结构，来自真实几何和复杂几何之间的相互作用，但也不像高阶对称空间中的平坦所提供的结构那么刚性。从这种丰富的结构中产生了大量需要技术的问题，包括复杂几何、代数几何、微分几何、拓扑学、群论、代数群等。会议将围绕以下三个主题展开：离散群和格；CR和接触几何；几何结构和特征变化。这些专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更非正式的接触。会议网站是https://conferences.cirm-math.fr/2622.html.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。