Convex geometry in algebraic geometry
|분야Field||2017 Math Colloquium|
|날짜Date||2017-11-24||시간Time||15:50 ~ 18:00|
|장소Place||Math. Bldg. 404||초청자Host||박지훈A|
|연사Speaker||Sung Rak Choi||소속Affiliation||Yonsei University|
|TOPIC||Convex geometry in algebraic geometry|
|소개 및 안내사항Content||Title: Convex geometry in algebraic geometry
1부 Abstract : MMP using the convex cone. I will explain how the convex cone of curves is used to run the minimal model program.
2부 Abstract : Positivity using the convex polytope.
An Okounkov body is a convex set in the Euclidean space associated to a divisor and it is predicted that those bodies capture many of the positivity of divisors. It is still mysterious and not fully known how the positivity of divisors are encoded in the Okounkov bodies. In this talk, I will explain how to recover some of the positivity of pseudoeffective divisors from Okounkov bodies.