演講公告
新聞標題: ( 2024-11-28 )
演講主題:Perspectives on tropical geometry, old and new
主講人:Harry Richman 博士(國家科學理論中心)
演講日期:2024年12月3日(星期二) 14:30 –15:20
演講地點:(光復校區) 科學一館213室
摘要內容:
Abstract
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.相關檔案:Talk_1131203.pdf
