Colloquium
Busemann's intersection inequality in nonEuclidean spaces
작성자Author
수학과
작성일Date
20180523 15:22
조회Views
405
분야Field  2018 Math Colloquim  

날짜Date  20180525  시간Time  15:50 ~ 18:00 
장소Place  Math. Bldg. 404  초청자Host  최영주 
연사Speaker  Jaegil Kim  소속Affiliation  GIST 
TOPIC  Busemann's intersection inequality in nonEuclidean spaces  
소개 및 안내사항Content  Title: Busemann's intersection inequality in nonEuclidean spaces Abstract: One of the classical results by H. Busemann asserts that among all convex bodies K in the Euclidean nspace of a fixed volume the nth moment of the crosssectional areas of K is maximized only when K is a centered ellipsoid. In this talk we will go over how the Euclidean case can be interpreted in terms of random simplices and we will introduce related open problems in Convex Geometry. Then we will provide a similar type of the maximizing or minimizing problems in hyperbolic and spherical spaces. This is based on joint work with S. Dann and V. Yaskin. 
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