LEADER 03489oam 2200493 450 001 9910300144203321 005 20190911112726.0 010 $a3-642-39383-7 024 7 $a10.1007/978-3-642-39383-9 035 $a(OCoLC)869793163 035 $a(MiFhGG)GVRL6YDI 035 $a(EXLCZ)993710000000057932 100 $a20131021d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 00$aConformal field theories and tensor categories $eproceedings of a workshop held at Beijing International Center for Mathematical Research /$fChengming Bai [and five others], editors 205 $a1st ed. 2014. 210 1$aHeidelberg, Germany :$cSpringer,$d2014. 215 $a1 online resource (ix, 279 pages) $cillustrations (some color) 225 1 $aMathematical Lectures from Peking University,$x2197-4209 300 $a"ISSN: 2197-4209." 311 $a3-642-39382-9 320 $aIncludes bibliographical references. 327 $aFrom Hopf algebras to tensor categories -- Pattern-of-zeros approach to Fractional quantum Hall states and a classification of symmetric polynomial of infinite variables -- Virasoro central changes for Nichols algebras -- Logarithmic bulk and boundary conformal field theory and the full centre construction -- Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules -- C2-cofinite w-algebras and their logarithmic representations -- C1-co_niteness and fusion products of vertex operator algebras. 330 $aThe present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the Beijing International Center for Mathematical Research, Peking University,  or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researchers looking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extremely useful for researchers working in these areas. 410 0$aMathematical lectures from Peking University. 606 $aCalculus of tensors 606 $aQuantum groups 606 $aConformal geometry 615 0$aCalculus of tensors. 615 0$aQuantum groups. 615 0$aConformal geometry. 676 $a285 702 $aBai$b Chengming 712 12$aConformal Field Theories and Tensor Categories (Workshop)$f(2011 :$ePeking University), 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910300144203321 996 $aConformal field theories and tensor categories$91409915 997 $aUNINA