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科学研究
Affine Function Valued Valuations
发布时间: 2021-09-07        浏览次数: 51

通博体育timu: affine function valued valuations  

报告人: 李晋 博士(Vienna University of Technology) 

didian: tengxunhuiyishi

shijian: 2020nian9yue10ri 15:00-16:00

摘要: A function valued valuation is an additive map defined on convex bodies and taking values in a function space. We say a valuation is affine if it behaves “nicely” under affine transforms, e.g., volumes, Euler characteristics (constant functions), moment vectors (understand as linear functions), support functions, Minkowski functionals, and so on. In this talk, I will show some classifications of SL(n) covariant or contravariant valuations which not only characterize valuations mentioned above but also characterize some (functional) extensions of Lp projection bodies and Lp moment bodies (polar L-p intersection bodies). Some applications will be also introduced.

canhuifangshi: jiarutengxunhuiyi: http://meeting.tencent.com/s/auffaplskqle

huiyi id: 464 856 251


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