Colloquium / Seminars

Topic：Perspectives on tropical geometry, old and new
Speaker：Dr. Harry Richman
　　　　(NCTS)
Date time：Dec. 3, 2024 14:30 - 15:20
Venue：SA213
Abstract：
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.
Download：Talk_1131203.pdf

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