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Tuesday Seminar on Topology
Seminar information archive ～11/30｜Next seminar｜Future seminars 12/01～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2025/11/18
17:30-18:30 Room #hybrid/056 (Graduate School of Math. Sci. Bldg.)
Pre-registration required. See our seminar webpage.
Masaki Tsukamoto (Kyoto University)
Rate distortion dimension of random Brody curves (JAPANESE)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Pre-registration required. See our seminar webpage.
Masaki Tsukamoto (Kyoto University)
Rate distortion dimension of random Brody curves (JAPANESE)
[ Abstract ]
Brody curves are one-Lipschtiz holomorphic maps from the complex plane to the complex projective space. Entire holomorphic curves have been studied over a century since Nevanlinna and H. Cartan, but there still remain many fundamental questions. In this talk we explain that ideas of ergodic theory and geometric measure theory provide a radically new approach on them. Roughly speaking, we show that Brody curves have an ergodic theoretic structure somehow analogous to that of Axiom A diffeomorphisms. In particular we establish "Ruelle inequality" and "existence of equilibrium measures" for Brody curves.
[ Reference URL ]Brody curves are one-Lipschtiz holomorphic maps from the complex plane to the complex projective space. Entire holomorphic curves have been studied over a century since Nevanlinna and H. Cartan, but there still remain many fundamental questions. In this talk we explain that ideas of ergodic theory and geometric measure theory provide a radically new approach on them. Roughly speaking, we show that Brody curves have an ergodic theoretic structure somehow analogous to that of Axiom A diffeomorphisms. In particular we establish "Ruelle inequality" and "existence of equilibrium measures" for Brody curves.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
