The Orbit Method for Real Reductive Groups
- A+
：Lucas Mason-Brown（University of Oxford）
：2022-04-19 17:00
：ZOOM APP ID：862 0343 0670（Pwd：649762）
报告人：Lucas Mason-Brown（University of Oxford）
时 间：4月19日下午17:00
地 点：ZOOM APP ID：862 0343 0670（Pwd：649762）
内容摘要:
The most fundamental unsolved problem in the representation theory of Lie groups is the problem of the unitary dual: given a reductive Lie group G, can we parameterize the set of irreducible unitary G-representations? The Orbit Method suggests a correspondence between irreducible unitary G-representations and coverings of co-adjoint G-orbits. The main conceptual hurdle is *defining* this correspondence. In this talk, I will define it in the case when G is complex. Time permitting, I will explain how to generalize this correspondence for arbitrary G.
个人简介：
Lucas Mason-Brown, 2020年博士研究生毕业于美国的麻省理工大学（Massachusetts Institute of Technology），师从David Vogan教授。现为英国牛津大学Titchmarsh Research Fellow。主要研究方向为约化李群的表示理论，特别是酉表示、Langlands纲领及coadjoint orbit method。
联系人：余世霖
