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An application of tropical geometry in Algebraic geometry
瞿振华博士,University of Texas at Austin
2018-01-01 12:13  华东师范大学

学术报告

报 告 人:瞿振华博士(University of Texas at Austin)
报告题目:An application of tropical geometry in Algebraic geometry
报告时间:2009年5月15日(周五)下午1:30-2:30
报告地点:闵行第三教学楼105室

摘 要

Tropical geometry is a newly developed branch of mathematics, it has connections with symplectic geometry, combinatorics, computational commutative algebra, algebraic geometry and so on. I will discuss one application in algebraic geometry, which is the so-called tropical compactification. This gives a nice way to compactify subvarieties of tori. In some special cases, one can even obtain a log canonical compactification in the sense of minimal model program. Examples include moduli space of n-poined stable curves of genus 0, moduli space of del Pezzo surfaces of degree 6,7, and moduli space of 6 points configuration in projective plane in linear general position.
(参考文献:arXiv:0902.2009v2 [math.AG] 12 Feb 2009)

报告人是第四十届国际数学奥林匹克竞赛金牌获得者。