LEADER 04491nam 22006855 450 001 9910299765403321 005 20200705052440.0 010 $a1-4939-2830-9 024 7 $a10.1007/978-1-4939-2830-9 035 $a(CKB)3710000000467519 035 $a(EBL)4178101 035 $a(SSID)ssj0001546517 035 $a(PQKBManifestationID)16141134 035 $a(PQKBTitleCode)TC0001546517 035 $a(PQKBWorkID)14796016 035 $a(PQKB)10652787 035 $a(DE-He213)978-1-4939-2830-9 035 $a(MiAaPQ)EBC4178101 035 $a(PPN)188459081 035 $a(EXLCZ)993710000000467519 100 $a20150827d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCalabi-Yau Varieties: Arithmetic, Geometry and Physics $eLecture Notes on Concentrated Graduate Courses /$fedited by Radu Laza, Matthias Schütt, Noriko Yui 205 $a1st ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (542 p.) 225 1 $aFields Institute Monographs,$x1069-5273 ;$v34 300 $aDescription based upon print version of record. 311 $a1-4939-2829-5 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aThe Geometry and Moduli of K3 Surfaces (A. Harder, A. Thompson) -- Picard Ranks of K3 Surfaces of BHK Type (T. Kelly) -- Reflexive Polytopes and Lattice-Polarized K3 Surfaces (U. Whitcher) -- An Introduction to Hodge Theory (S.A. Filippini, H. Ruddat, A. Thompson) -- Introduction to Nonabelian Hodge Theory (A. Garcia-Raboso, S. Rayan) -- Algebraic and Arithmetic Properties of Period Maps (M. Kerr) -- Mirror Symmetry in Physics (C. Quigley) -- Introduction to Gromov?Witten Theory (S. Rose).- Introduction to Donaldson?Thomas and Stable Pair Invariants (M. van Garrel).- Donaldson?Thomas Invariants and Wall-Crossing Formulas (Y. Zhu).- Enumerative Aspects of the Gross?Siebert Program (M. van Garrel, D.P. Overholser, H. Ruddat).- Introduction to Modular Forms (S. Rose).- Lectures on Holomorphic Anomaly Equations (A. Kanazawa, J. Zhou) -- Polynomial Structure of Topological Partition Functions (J. Zhou).- Introduction to Arithmetic Mirror Symmetry (A. Perunicic). 330 $aThis volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi?Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross?Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area. The contributions in this book are based on lectures that took place during workshops with the following thematic titles: ?Modular Forms Around String Theory,? ?Enumerative Geometry and Calabi?Yau Varieties,? ?Physics Around Mirror Symmetry,? ?Hodge Theory in String Theory.? The book is ideal for graduate students and researchers learning about Calabi?Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties. 410 0$aFields Institute Monographs,$x1069-5273 ;$v34 606 $aNumber theory 606 $aAlgebraic geometry 606 $aFunctions of complex variables 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 615 0$aNumber theory. 615 0$aAlgebraic geometry. 615 0$aFunctions of complex variables. 615 14$aNumber Theory. 615 24$aAlgebraic Geometry. 615 24$aSeveral Complex Variables and Analytic Spaces. 676 $a516.35 702 $aLaza$b Radu$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSchütt$b Matthias$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aYui$b Noriko$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299765403321 996 $aCalabi-Yau varieties: arithmetic, geometry and physics$92440519 997 $aUNINA