報告人：Elisabeth Werner（美國凱斯西儲大學）

報告題目：On the $L_p$ Brunn Minkowski theory

報告摘要：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 $L_p$ Brunn Minkowski theory has emerged  and has evolved rapidly over the last years. It  is now a central part of modern convex geometry. The $L_p$ 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 $L_p$ Brunn Minkowski theory. The classical Steiner formula is a special case of this more general $L_p$ Steiner formula.

報告時間：2024年11月14日（星期四）10:00-12:00

報告地點：東31樓119會議室

邀請人：張甯

報告人簡介：美國凱斯西儲大學教授，美國數學會會士，凸幾何分析國際知名專家，長期從事凸幾何分析中的浮體問題。先後應邀在澳大利亞數學會、加拿大數學會、波恩大學等作一小時學術報告。已在Adv. Math、CPAM、Math. Ann.等知名期刊發表學術論文近百篇。