短课程Short course: Numerical characterization of the hard Lefschetz classes

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:肖建 (清华大学)
:2024-08-01 ——2024-08-07
:厦门大学海韵园数理大楼661


1. 授课专家  Instructor

肖建 (清华大学)


2. 短课程介绍 Introduction

题目:Numerical characterization of the hard Lefschetz classes

摘要:We give an overview on recent progress on the numerical characterization of the hard Lefschetz classes. During the lectures, the following topics will be discussed: positivity in algebraic geometry, the extremals of geometric inequalities, Lorentzian polynomials and combinatorial poset inequalities.

 

参考文献:

Branden-Huh: Lorentzian polynomials. Ann. of Math. (2) 192 (2020), no. 3, 821–891.

 

de Cataldo-Migliorini: The hard Lefschetz theorem and the topology of semismall maps. Ann. Sci. École Norm. Sup. (4) 35 (2002), no. 5, 759–772.

 

Hu-Xiao: Numerical characterization of the hard Lefschetz classes of dimension two. arXiv:2309.05008

 

Shenfeld-van Handel: The extremals of the Alexandrov-Fenchel inequality for convex polytopes. Acta Math. 231 (2023), no. 1, 89 - 204.

 

3. 授课时间  Schedule

Time

82(周五) 下午14:30-17:00

85(周一) 上午09:30-12:00

86(周二) 上午09:30-12:00

 

4. 授课地点

厦门大学海韵园数理大楼661

 

5. 其他事项

本短课程尚有少量校外学员名额,中心提供适当差旅食宿补助,感兴趣的师生可联系杨波(boyang@xmu.edu.cn)叶老师(0592-2580036tymath2@xmu.edu.cn)。若有课程变动及相关安排,请及时访问本页获取更新。