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PDE Real Analysis Seminar
Seminar information archive ～03/19｜Next seminar｜Future seminars 03/20～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Yoshikazu Giga, Kazuhiro Ishige, Hiroyoshi Mitake, Tsuyoshi Yoneda |
| URL | https://www.math.sci.hokudai.ac.jp/coe/sympo/pde_ra/index_en.html |
2015/05/19
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Sumio Yamada (Gakushuin University)
Convex bodies and geometry of some associated Minkowski functionals (日本語)
Sumio Yamada (Gakushuin University)
Convex bodies and geometry of some associated Minkowski functionals (日本語)
[ Abstract ]
In this talk, we will investigate the construction of so-called Hilbert metric, as well as Funk metric, defined on convex set from a new variational viewpoint. The local and global aspects of the geometry of the resulting Minkowski functionals will be contrasted. As an application, some remarks on the Perron-Frobenius theorem will be made. Part of the project is a joint work with Athanase Papadopoulos (Strasbourg).
In this talk, we will investigate the construction of so-called Hilbert metric, as well as Funk metric, defined on convex set from a new variational viewpoint. The local and global aspects of the geometry of the resulting Minkowski functionals will be contrasted. As an application, some remarks on the Perron-Frobenius theorem will be made. Part of the project is a joint work with Athanase Papadopoulos (Strasbourg).
