LEADER 03475nam 22005895 450 001 996587869403316 005 20240619185002.0 010 $a3-031-37883-0 024 7 $a10.1007/978-3-031-37883-6 035 $a(MiAaPQ)EBC31018105 035 $a(Au-PeEL)EBL31018105 035 $a(DE-He213)978-3-031-37883-6 035 $a(CKB)29364116000041 035 $a(EXLCZ)9929364116000041 100 $a20231213d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aConvex Geometry $eCetraro, Italy 2021 /$fby Shiri Artstein-Avidan, Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi, Daniel Hug, Monika Ludwig, Fabian Mussnig ; edited by Andrea Colesanti, Monika Ludwig 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (304 pages) 225 1 $aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v2332 311 08$aPrint version: Artstein-Avidan, Shiri Convex Geometry Cham : Springer,c2024 9783031378829 330 $aThis book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021. Convex geometry is a very active area in mathematics with a solid tradition and a promising future. Its main objects of study are convex bodies, that is, compact and convex subsets of n-dimensional Euclidean space. The so-called Brunn--Minkowski theory currently represents the central part of convex geometry. The Summer School provided an introduction to various aspects of convex geometry: The theory of valuations, including its recent developments concerning valuations on function spaces; geometric and analytic inequalities, including those which come from the Lp Brunn--Minkowski theory; geometric and analytic notions of duality, along with their interplay with mass transportation and concentration phenomena; symmetrizations, which provide one of the main tools to many variational problems (not only in convex geometry). Each of these parts is represented by one of the courses given during the Summer School and corresponds to one of the chapters of the present volume. The initial chapter contains some basic notions in convex geometry, which form a common background for the subsequent chapters. The material of this book is essentially self-contained and, like the Summer School, is addressed to PhD and post-doctoral students and to all researchers approaching convex geometry for the first time. 410 0$aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v2332 606 $aConvex geometry 606 $aDiscrete geometry 606 $aConvex and Discrete Geometry 606 $aGeometria discreta$2thub 608 $aLlibres electrònics$2thub 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 14$aConvex and Discrete Geometry. 615 7$aGeometria discreta 676 $a516.08 700 $aArtstein-Avidan$b Shiri$01460401 701 $aBianchi$b Gabriele$0154864 701 $aColesanti$b Andrea$0786509 701 $aGronchi$b Paolo$01460402 701 $aHug$b Daniel$01065686 701 $aLudwig$b Monika$01460403 701 $aMussnig$b Fabian$01460404 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996587869403316 996 $aConvex Geometry$93660272 997 $aUNISA