中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
学术报告
杰出访问研究员学术报告
Speaker: 王博潼（威斯康星大学麦迪逊分校）
Inviter: 付保华
Language: Chinese
Title: Lorentzian Polynomials and Log-Concavity
Time & Venue: 2026年5月27日（星期三）10：30-11：30 & MCM410
Abstract:The theory of Lorentzian polynomials was developed independently by Brändén–Huh and Anari–Liu–Oveis Gharan–Vinzant to study the structures underlying log-concavity phenomena. In this talk, I will give a survey of the theory of Lorentzian polynomials and discuss some of its applications to log-concavity results in matroid theory.
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Title: Volume Polynomials and Volume Inequalities
Time & Venue: 2026年5月29日（星期五）10：30-11：30 & MCM410
Abstract: Volume polynomials form a special family of Lorentzian polynomials. In this talk, I will discuss how volume polynomials can be used to deduce many fundamental inequalities, including the Alexandrov–Fenchel inequalities, the Loomis–Whitney inequalities, the Khovanskii–Teissier inequalities, and the reverse Khovanskii–Teissier inequalities. This is joint work with June Huh, Mateusz Michałek, and Jian Xiao.
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