演講者：芮天松(Harry Richman)教授 (國立陽明交通大學應用數學系)

日   期：2026 年 10 月 21 日（星期三）13:30

地   點：國立高雄大學理學院 408 室

講   題：Perspectives on tropical geometry

摘   要：

Tropical geometry is a way to approach geometry at "extreme magnitudes", and to work with "combinatorial shadows" of algebraic varieties. It is a recent branch of mathematics, but its central ideas can be traced back much farther. I will present some ideas underlying tropical mathematics, starting with two tools for solving for roots of a single-variable polynomial equation: Descartes's "rule of signs" and Newton polygons. In more modern mathematics, these tools are extended to "higher dimension" versions and used for understanding moduli spaces of varieties and their degenerations. I will describe these ideas through examples and cover some current developments.