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10th Distinguished Lecture丨Tropical trigonometry, caustics and continued fractions
时间
2024年4月18日(星期四)
10:30-12:00
地点
E4-233
主持
理论科学研究院 Ivan Fesenko
受众
全体师生
分类
学术与研究
10th Distinguished Lecture丨Tropical trigonometry, caustics and continued fractions
时间:2024年4月18日(周四)10:30-12:00
Time:10:30-12:00, Thursday, April 18, 2024
地点:云谷校区E4-233
Venue: E4-233, Yungu Campus
主持人/Host: Ivan Fesenko, ITS
主讲人/Speaker: Grigory Mikhalkin, University of Geneva
主讲人简介/Biography:Grigory Mikhalkin is a professor at the University of Geneva in Switzerland. Professor Mikhalkin is one of the founders of and contributors to Tropical Geometry, a domain of algebraic geometry, which has many links with several other areas including mathematical physics.
He was awarded the Prize of the St. Petersburg Mathematical, the Silver Medal of the Mexican Mathematical Society, and the Chair of Fondation Sciences Mathématiques de Paris. He was also an invited speaker at the International Congress of Mathematicians.
讲座主题/Title:Tropical trigonometry, caustics and continued fractions
讲座摘要/Abstract: We'll take a look at geometry and trigonometry of the tropical plane by means of the so-called tropical wave front evolution. As any evolution process in the plane, described by the PDE of the first order, it defines the caustic curve. In this case, the caustic produces a subdivision of the tropical angle to the elementary angles. Surprisingly, it can be seen as a geometric manifestation of the continued fractions, both in the classical form (with plus signs), and in the Hirzebruch-Jung form (with minus signs). Joint work with Mikhail Shkolnikov.