東京確率論セミナー
過去の記録 ~05/01|次回の予定|今後の予定 05/02~
開催情報 | 月曜日 16:00~17:30 数理科学研究科棟(駒場) 126号室 |
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担当者 | 佐々田槙子、中島秀太(明治大学)、星野壮登(東京科学大学) |
セミナーURL | https://sites.google.com/view/tokyo-probability-seminar23/ |
2024年12月02日(月)
16:00-17:30 数理科学研究科棟(駒場) 126号室
15:15〜 2階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
本多正平 氏 (東京大学)
Weyl’s law with Ricci curvature bounded below
15:15〜 2階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
本多正平 氏 (東京大学)
Weyl’s law with Ricci curvature bounded below
[ 講演概要 ]
Weyl’s law on a closed manifold gives an asymptotic behavior of eigenvalues of the Laplace operator in terms of the size of the manifold. It was conjectured by Luigi Ambrosio (Scuola Normale Superiore), David Tewodrose (Vrije Universiteit Brussel) and myself such that Weyl’s law is valid for Gromov-Hausdorff limit spaces with a restriction of Ricci curvature. A joint work with Xianzhe Dai (UC Santa Barbara), Jiayin Pan (UC Santa Cruz) and Guofang Wei
(UC Santa Barbara) disproved the conjecture. We will discuss about these topics in this talk.
Weyl’s law on a closed manifold gives an asymptotic behavior of eigenvalues of the Laplace operator in terms of the size of the manifold. It was conjectured by Luigi Ambrosio (Scuola Normale Superiore), David Tewodrose (Vrije Universiteit Brussel) and myself such that Weyl’s law is valid for Gromov-Hausdorff limit spaces with a restriction of Ricci curvature. A joint work with Xianzhe Dai (UC Santa Barbara), Jiayin Pan (UC Santa Cruz) and Guofang Wei
(UC Santa Barbara) disproved the conjecture. We will discuss about these topics in this talk.