报告题目 (Title)：On the Lp Brunn Minkowski theory
中文标题：关于Lp Brunn Minkowski理论
报告人 (Speaker)：Elisabeth Werner（Case Western Reserve University）
报告时间 (Time)：2024年11月18日（周一） 10:40
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：席东盟、李晋、吴加勇
报告摘要：The Brunn Minkowski theory, sometimes also called the theory of mixed volumes, is the very core of convex geometric analysis. It centers around the study of geometric invariants and geometric measures associated with convex bodies. A cornerstone of this theory is the classical Steiner formula. An extension of the classical Brunn Minkowski theory, the Lp Brunn Minkowski theory has emerged and has evolved rapidly over the last years. It is now a central part of modern convex geometry. The Lp Brunn Minkowski theory focuses on the study of affine invariants associated with convex bodies. We show an analogue of the classical Steiner formula in the context of the Lp Brunn Minkowski theory. The classical Steiner formula is a special case of this more general Lp Steiner formula.