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學術專區

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演講
活動開始時間2018-01-02 16:00:00
活動結束時間2018-01-02 17:00:00
活動名稱學術演講-Unitary small representations of nonlinear Lie groups
主講者蔡宛育 博士 (中央研究院數學研究所)
活動地點綜合三館4F Lecture Room B
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參考連結 
備註講題: Unitary small representations of nonlinear Lie groups

講者: 蔡宛育 博士 (中央研究院數學研究所)

時間: 2018.1.2 (Tue.) 16:00 - 17:00
****注意,是星期二****

地點: 綜三館4F Lecture Room B

茶會: 15:30, R707

Abstract

In this talk, we first sketch the historical development of representation theory of reductive Lie groups, and introduce some basic notions and invariants to study it. Some major problems that have been solved for linear Lie groups are still mysterious for nonlinear Lie groups. We then discuss the growing importance of studying genuine representations of the nonlinear double cover of a real reductive Lie group. In particular, we are interested in the classification of genuine small representations and the algebraic properties that they carry. These small representations are part of the building blocks of the unitary dual of a nonlinear real Lie group. This talk is based on some recent results appearing in my paper and joint work with Dan Barbasch, and also an ongoing project with Toshiyuki Kobayashi.
最後更新日期2017-12-28 11:51:40
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