Linearity in the Tropics

授课人:Federico Ardila

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Linearity;   

加拿大|英语

【 摘 要 】

Tropical geometry studies an algebraic variety X by `tropicalizing' it into a polyhedral complex Trop(X) which retains much of the information about X. This technique has been applied successfully in numerous contexts in pure and applied mathematics.Tropical varieties may be simpler than algebraic varieties, but they are by no means well understood. In fact, tropical linear spaces already feature a surprisingly rich and beautiful combinatorial structure, and interesting connections to geometry, topology, and phylogenetics. I will discuss what we currently know about them.

【 授权许可】

CC BY-NC-ND   
Except where explicitly noted elsewhere, the works on this site are licensed under a Creative Commons License: CC BY-NC-ND