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幾何解析セミナー
過去の記録 ～05/23｜次回の予定｜今後の予定 05/24～
| 担当者 | 今野北斗，高津飛鳥，本多正平 |
|---|---|
| セミナーURL | https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/ |
2026年05月14日(木)
14:00-16:20 数理科学研究科棟(駒場) 002号室
Jacob Bernstein 氏 (Johns Hopkins University) 14:00-15:00
Complexity of submanifolds and Colding-Minicozzi entropy (英語)
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
Peter Topping 氏 (University of Warwick) 15:20-16:20
Unusual regularisation properties of curve shortening flow (英語)
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
Jacob Bernstein 氏 (Johns Hopkins University) 14:00-15:00
Complexity of submanifolds and Colding-Minicozzi entropy (英語)
[ 講演概要 ]
Colding-Minicozzi entropy is a natural quantity associated to mean curvature flow which measures complexity of submanifolds of Euclidean space. We discuss some (nearly) optimal relationships between entropy and areas of (minimal) submanifolds of the sphere.
[ 講演参考URL ]Colding-Minicozzi entropy is a natural quantity associated to mean curvature flow which measures complexity of submanifolds of Euclidean space. We discuss some (nearly) optimal relationships between entropy and areas of (minimal) submanifolds of the sphere.
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
Peter Topping 氏 (University of Warwick) 15:20-16:20
Unusual regularisation properties of curve shortening flow (英語)
[ 講演概要 ]
Parabolic partial differential equations tend to improve regularity. Generally one can control strong norms (e.g. $C^k$) of a solution at time $t$ principally in terms of $t$ and a weak norm of the initial data. Curve shortening flow is a geometric flow for which the story is more weird and wonderful. I will explain some recent works with Arjun Sobnack from 2026 and before where this is manifest. I expect to be able to make the talk accessible to a relatively broad audience.
[ 講演参考URL ]Parabolic partial differential equations tend to improve regularity. Generally one can control strong norms (e.g. $C^k$) of a solution at time $t$ principally in terms of $t$ and a weak norm of the initial data. Curve shortening flow is a geometric flow for which the story is more weird and wonderful. I will explain some recent works with Arjun Sobnack from 2026 and before where this is manifest. I expect to be able to make the talk accessible to a relatively broad audience.
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
