## 【台風接近に伴う日時変更】Urs Frauenfelder教授 スーパーグローバルコース数学特別講義

＊台風21号の接近に伴い、9月4日(火) 10:00〜の講義を取り止め、下記の通り、9月5日(水)に2回分の講義を行います。（9月3日追記）

Urs Frauenfelder教授（Augsburg University）によるスーパーグローバルコース数学特別講義を下記の要領で行います。

スーパーグローバルコース 数学特別講義４

2018年9月3日〜9月7日　全5回
• 9月3日(月)　13:30〜15:30
• 9月5日(水)　10:00〜12:00 / 13:30〜15:30（9月4日の振り替え）
• 9月6日(木)　10:00〜12:00
• 9月7日(金)　10:00〜12:00

The restricted three-body problem and holomorphic curves

The restricted three-body problem describes the dynamics of a massless particle attracted by two masses. For example the massless particle could be the moon and the masses earth and sun, or a satellite attracted by the earth and moon, or a planet attracted by two stars in a double star system. Different from the two-body problem which is completely integrable the dynamics of the restricted three-body problem has chaotic behaviour.
A global surface of section reduces the complexity of the dynamics by one dimension. More than hundred years ago Birkhoff made a conjecture about the existence of a global surface of section for the restricted three-body problem. Although the question about existence of a global surface of section is a question about all orbits, holomorphic curves allow to reduce the Birkhoff conjecture to questions involving periodic orbits only.
In the lecture I explain the theory of holomorphic finite energy planes, what they imply for the Birkhoff conjecture, and what challenges remain to be done to prove the conjecture.