Relation between Algebraic and Convex Geometries

代数几何和凸几何之间的关系

• 批准号: 156833-2012
• 负责人: Khovanskii, Askold
• 金额: $ 2.55万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=522699
• 关键词: Relation; between; Algebraic; Convex; Geometries

I plan to work on very different theories (as I always do): on my Topological Galois Theory which explains why some equations could not be solved by explicit formulas; on "Tropical Geometry" which allows to solve algebraic problems by analyzing planar diagrams; on my "Fewnomials Theory" whose ideology is that "simple" not cumbersome systems of equations should define sets, having "simple" topology (this theory proved to be very powerful) and on other theories.

我计划研究完全不同的理论（我总是这样做）：在我的拓扑伽罗瓦理论，解释了为什么有些方程不能解决明确的公式;在“热带几何”，允许解决代数问题，通过分析平面图;我的“少项理论”的思想是，“简单”而不是繁琐的方程组应该定义集合，具有“简单”拓扑（这个理论被证明是非常强大的）和其他理论。