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Geometric Analysis Seminar
Seminar information archive ～05/17｜Next seminar｜Future seminars 05/18～
| Organizer(s) | Shouhei Honda, Hokuto Konno, Asuka Takatsu |
|---|---|
| URL | https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/ |
2026/05/14
14:00-16:20 Room #002 (Graduate School of Math. Sci. Bldg.)
Jacob Bernstein (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 (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 (Johns Hopkins University) 14:00-15:00
Complexity of submanifolds and Colding-Minicozzi entropy (英語)
[ Abstract ]
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.
[ Reference 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 (University of Warwick) 15:20-16:20
Unusual regularisation properties of curve shortening flow (英語)
[ Abstract ]
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.
[ Reference 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/
