Convex Geometry

Convex Geometry

Cetraro, Italy 2021

Herausgegeben: Colesanti, Andrea; Ludwig, Monika
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This book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021.Convex geometry is a very active area in mathematics with a solid tradition and a promising future. Its main objects of study are convex bodies, that is, compact and convex subsets of n-dimensional Euclidean space. The so-called Brunn--Minkowski theory currently represents the central part of convex geometry.The Summer School provided an introduction to various aspects of convex geometry: The theory of valuations, including its recent developments concer...