走向现代数学学术报告 - Claudia Schoemann副教授（No. 732) 

题目：Representations of p-adic groups and the Langlands correspondence 

报告人：Claudia Schoemann 副教授（波利尼西亚大学） 

时间：2024年9月9日 14:00 

地点：东海岸校区-D实209 

摘要：We consider representations of connected reductive algebraic groups defined over a non-archimedean local field. In particular, we study the parabolically induced complex representations of the unitary group in 5 variables, U(5), defined over a p-adic field. We determine the points and lines of reducibility and the irreducible subquotients of these representations and we describe the unitary dual in terms of Langlands quotients. We describe the role of these representations and the meaning of the irreducible unitary points for the local and global Langlands correspondence. 

报告人简介：Claudia Schoemann ，副教授，现供职于法属波利尼西亚大学（Université de la Polynésie française）GAATI实验室。她在2014年获博士学位，曾在德国哥廷根大学，美因茨大学任教。现在主要研究方向是代数几何与p-进域上线性代数群的结构与表示理论。