Midwest Representation Theory Conference 2021/2022

该奖项支持中西部代表性理论会议，将于2022年3月11日至13日在密歇根大学举行。会议将聚集资深专家、新近博士和研究生，讨论和传播代数群的局部点和拐点表示理论的广泛领域的新成果，这是数学的基础学科，在数学内外都有许多应用。该会议将是一系列会议的最新一次会议，这些会议一贯为学生和专家介绍和讨论该学科的最新工作提供了一个论坛。会议的特点是邀请来自不同群体的演讲者进行演讲，包括几位从事广泛主题工作的年轻研究人员，以及贡献的演讲。演讲者的专业范围很广，有两个广泛的主题是超尖表示，自同构形式和l -函数。超尖表示是群在局部域上的有理点的可容许表示的基本组成部分，它们通常表现为群的自同构表示的分支局部分量。这些函数及其相关的l函数是现代数论研究的中心对象。该奖项反映了NSF的法定使命，并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，认为值得支持。

This award supports the Midwest Representation Theory Conference, to be held March 11-13, 2022 at the University of Michigan. The conference will gather established experts, recent Ph.D.s, and graduate students to discuss and disseminate new results in the broad area of representation theory of local and adelic points of algebraic groups, a fundamental subject in mathematics, with many applications both inside and outside mathematics. The conference will be the latest in a sequence of conferences that have consistently provided a forum in which students and experts alike present and discuss state-of-the-art-work in the discipline.The conference features invited talks from a diverse cohort of speakers, including several young researchers working in a broad range of topics, as well as contributed talks. Speakers' specialties range widely, with two broad themes being supercuspidal representations, and automorphic forms and L-functions. Supercuspidal representations are the fundamental building blocks of admissible representations of rational points of groups over local fields, and they typically appear as ramified local components of automorphic representations of adelic groups. These, along with their associated L-functions, are central objects of study in modern number theory. The conference website is https://homepage.divms.uiowa.edu/~mkrishna/2022mrtc/.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.