金沙威尼斯欢乐娱人城核心数学研究所——几何与分析综合报告第95讲 关于Lp Brunn Minkowski理论

创建时间:  2024/11/18  龚惠英   浏览次数:   返回

报告题目 (Title):On the Lp Brunn Minkowski theory(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

主办部门:金沙威尼斯欢乐娱人城数学系

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.

上一条:物理学科Seminar第703讲 巨脉冲和快射电暴的圆偏振机制

下一条:数学学科Seminar第2774讲 无穷时滞混合随机泛函微分方程:近似与数值


金沙威尼斯欢乐娱人城核心数学研究所——几何与分析综合报告第95讲 关于Lp Brunn Minkowski理论

创建时间:  2024/11/18  龚惠英   浏览次数:   返回

报告题目 (Title):On the Lp Brunn Minkowski theory(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

主办部门:金沙威尼斯欢乐娱人城数学系

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.

上一条:物理学科Seminar第703讲 巨脉冲和快射电暴的圆偏振机制

下一条:数学学科Seminar第2774讲 无穷时滞混合随机泛函微分方程:近似与数值