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Tropical geometry and its applications

2017-10-09 11:49    
主题:
Tropical geometry and its applications
时间:
2017-09-04 14:30-16:30
地点:
卫津路校区6号楼108教室
主讲人:
Dr. Yue Ren

主讲人简介

    Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany

演讲内容介绍

    Tropical varieties are balanced polyhedral complexes that arise in several contexts. In Geometry, they are commonly regarded as combinatorial shadows of their algebraic counterparts; in combinatorics, they appear in the study of realizable matroids; and in optimization, they appear as parameter domains in which the optimal solution is not unique.
    In this talk, we will discuss the different equivalent definitions for tropical varieties and the different applications of tropical geometry that they entail. Special emphasis will be put applications in economics and physics. Moreover, we will discuss how tropical varieties can be computed, and, in doing so, highlight some bread-and-butter techniques of computer algebra.

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