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Lie群論・表現論セミナー
過去の記録 ～12/01｜次回の予定｜今後の予定 12/02～
| 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 |
2025年11月18日(火)
17:00-18:00 数理科学研究科棟(駒場) 118号室
Robin van Haastrecht 氏 (Chalmers University of Technology/University of Gothenburg)
Wehrl-type inequalities for the holomorphic discrete series
(English)
Robin van Haastrecht 氏 (Chalmers University of Technology/University of Gothenburg)
Wehrl-type inequalities for the holomorphic discrete series
(English)
[ 講演概要 ]
Wehrl first investigated Wehrl-type inequalities while studying entropy in quantum mechanics. They can be formulated as inequalities of integrals of matrix coefficients of Lie groups, and the main question is to find states with minimal entropy. In this talk we prove $L^2$-$L^p$ Wehrl-type inequalities for the holomorphic discrete series representations of semisimple Lie groups. We find the best constants for inequalities and characterize the maximizers for even integers. This is joint work with Genkai Zhang.
Wehrl first investigated Wehrl-type inequalities while studying entropy in quantum mechanics. They can be formulated as inequalities of integrals of matrix coefficients of Lie groups, and the main question is to find states with minimal entropy. In this talk we prove $L^2$-$L^p$ Wehrl-type inequalities for the holomorphic discrete series representations of semisimple Lie groups. We find the best constants for inequalities and characterize the maximizers for even integers. This is joint work with Genkai Zhang.
