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Lie群論・表現論セミナー
過去の記録 ～12/08｜次回の予定｜今後の予定 12/09～
| 開催情報 | 火曜日 16:30～18:00 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 小林俊行 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html |
2021年11月30日(火)
17:00-18:00 数理科学研究科棟(駒場) on line号室
Quentin Labriet 氏 (Reims University)
Branching problems for conformal Lie groups and orthogonal polynomials
(English)
Quentin Labriet 氏 (Reims University)
Branching problems for conformal Lie groups and orthogonal polynomials
(English)
[ 講演概要 ]
In this talk, I will present some results obtained during my PhD about a link between branching problems for conformal Lie groups and orthogonal polynomials. More precisely, I am going to look at some examples of branching problems for representations in the scalar-valued holomorphic discrete series of some conformal Lie groups. Using the geometry of symmetric cone, I will explain how the theory of orthogonal polynomials can be related to branching problems and to the construction of symmetry breaking and holographic operators.
In this talk, I will present some results obtained during my PhD about a link between branching problems for conformal Lie groups and orthogonal polynomials. More precisely, I am going to look at some examples of branching problems for representations in the scalar-valued holomorphic discrete series of some conformal Lie groups. Using the geometry of symmetric cone, I will explain how the theory of orthogonal polynomials can be related to branching problems and to the construction of symmetry breaking and holographic operators.
