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020 _a9781461464020
040 _cIIT Kanpur
041 _aeng
082 _a516.352
_bAr46
245 _aArithmetic and geometry of K3 surfaces and Calabi–Yau threefolds
_cedited by Radu Laza, Matthias Schutt and Noriko Yui
260 _bSpringer
_c2013
_aNew York
300 _axxvi, 602p
440 _aFields institute communications : the fields institute for research in mathematical sciences
490 _a / edited by Field Institute; v.67
520 _aIn recent years, research in K3 surfaces and Calabi-Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics-in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi-Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi-Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.
650 _aSurfaces, Algebraic
650 _aNumber theory
700 _aLaza, Radu [ed.]
700 _aSchutt, Matthias [ed.]
700 _aYui, Noriko [ed.]
942 _cBK
999 _c559849
_d559849