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 |
8月2日(周五) 下午14:30-17:00 |
8月5日(周一) 上午09:30-12:00 |
8月6日(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(0592-2580036，tymath2@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。