报 告 人：肖建 副教授 

报告题目：Intersection theoretic inequalities via Lorentzian polynomials

报告时间：2023年12月05日（周二）下午15:00

报告地点：静远楼1508学术报告厅

主办单位：数学与统计学院、数学研究院、科学技术研究院 

报告人简介：

       肖建，清华大学副教授，研究方向为复几何，主要关注代数几何与解析几何中的正性理论，以及与其它领域之间的联系。 

报告摘要：

       The theory of Lorentzian polynomials was recently introduced and systematically developed by Braden-Huh and independently (with part overlap) by Anari-Liu-Gharan-Vinzant. It has many important applications in combinatorics, including a resolution of  the strongest version of Mason conjecture and new proofs of the Heron-Rota-Welsh conjecture. In this talk, we explore its applications to geometry. In particular, we establish a series of intersection theoretic inequalities, which we call rKT property.  We will discuss the origin of the rKT property in analytic geometry, and its connections with the submodularity for numerical dimension type functions and the sumset estimates for volume type functions. Joint work with J. Hu.