報(bào) 告 人：肖建 副教授 

報(bào)告題目：Intersection theoretic inequalities via Lorentzian polynomials

報(bào)告時(shí)間：2023年12月05日（周二）下午15:00

報(bào)告地點(diǎn)：靜遠(yuǎn)樓1508學(xué)術(shù)報(bào)告廳

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院 

報(bào)告人簡(jiǎn)介：

       肖建，清華大學(xué)副教授，研究方向?yàn)閺?fù)幾何，主要關(guān)注代數(shù)幾何與解析幾何中的正性理論，以及與其它領(lǐng)域之間的聯(lián)系。 

報(bào)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.