数学与统计学院学术报告[2021] 042号

(高水平大学建设系列报告542号)

报告题目: The Unitary Dual Problem and Category O

报告人：Yee WaiLing 教授  （Windsor大学，加拿大）

报告时间：2021年5月19日21:00-22:00

报告地点： Zoom会议ID 961 2884 4344 密码：108668 　

报告内容：One of the most important open problems in mathematics is the Unitary Dual Problem:  given a group, classify its irreducible unitary representations.  The most common approach to classifying unitary representations is to study representations admitting non-degenerate invariant Hermitian forms (these are classified), compute the signatures of the forms, and then determine when the forms are definite.  I will discuss signature character formulas for representations admitting non-degenerate invariant Hermitian forms in Category O. Some of the material covered in this talk is joint work with Justin Lariviere. In this talk, I will give a survey on special types of homogeneous (pseudo-)Riemannian manifolds, such as homogeneous Einstein manifolds, geodesic orbit spaces, and pseudo-Riemannian weakly symmetric spaces.

报告人简历： Wai Ling Yee是加拿大Windsor大学教授。她博士毕业于麻省理工学院，是Vogan教授的学生。主要研究兴趣为李群酉表示分类问题，在不可约最高权表示的不变Hermitian型问题上做出重要贡献。

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                                                2021年5月19日