000			03203cam a2200301 i 4500
001			137497
003			ISI Library, Kolkata
005			20170406143212.0
008			150911s2016 enka b 100 0 eng
020			_a9781107546295
040			_aISI Library
082	0	4	_a514.74 _223 _bSu955
111	2		_aSummer School and Conference on Recent advances in Hodge theory: Period Domains, Algebraic Cycles, and Arithmetic _c(Vancouver, Canada _d10-20 June 2013)
245	1	0	_aRecent advances in Hodge theory : _bperiod domains, algebraic cycles, and arithmetic / _c[edited by] Matt Kerr and Gregory Pearlstein.
260			_aCambridge : _bCambridge University Press, _c2016.
300			_axvii, 514 pages : _billustrations ; _c23 cm.
490	0		_aLondon Mathematical Society lecture note series ; _v427
504			_aIncludes bibliographical references.
505	0		_apt. (I) HODGE THEORY AT THE BOUNDARY -- (I.A). PERIOD DOMAINS AND THEIR COMPACTIFICATIONS -- 1. Classical Period Domains / Zheng Zhang -- 2. The singularities of the invariant metric on the Jacobi line bundle / Ulf Kuhn -- 3. Symmetries of Graded Polarized Mixed Hodge Structures / Aroldo Kaplan -- (I.B). PERIOD MAPS AND ALGEBRAIC GEOMETRY -- 4. Deformation theory and limiting mixed Hodge structures / Phillip Griffiths -- 5. Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory / Sampei Usui -- 6. The 14th case VHS via K3 fibrations / Alan Thompson -- pt. (II) ALGEBRAIC CYCLES AND NORMAL FUNCTIONS -- 7.A simple construction of regulator indecomposable higher Chow cycles in elliptic surfaces / Masanori Asakura -- 8.A relative version of the Beilinson-Hodge conjecture / Deepam Patel -- 9. Normal functions and spread of zero locus / Morihiko Saito -- 10. Fields of definition of Hodge loci / Christian Schnell -- 11. Tate twists of Hodge structures arising from abelian varieties / Salman Abdulali -- 12. Some surfaces of general type for which Bloch's conjecture holds / C. Weibel -- pt. (III) THE ARITHMETIC OF PERIODS -- (III. A). MOTIVES, GALOIS REPRESENTATIONS, AND AUTOMORPHIC FORMS -- 13. An introduction to the Langlands correspondence / Wushi Goldring -- 14. Generalized Kuga-Satake theory and rigid local systems I: the middle convolution / Stefan Patrikis -- 15. On the fundamental periods of a motive / Hiroyuki Yoshida -- (III. B). MODULAR FORMS AND ITERATED INTEGRALS -- 16. Geometric Hodge structures with prescribed Hodge numbers / Donu Arapura -- 17. The Hodge-de Rham theory of modular groups / Richard Hain.
520			_aHodge theory lies at the heart of modern algebraic geometry and this volume explores the many contexts in which it arises, including theoretical physics. The book will be of value to graduate students and seasoned researchers alike, for its mixture of cutting-edge research and expository articles.
650		0	_aAlgebraic cycles _vCongresses.
650		0	_aHodge theory _vCongresses.
650		0	_aAlgebraic Geometry _vCongresses.
650		0	_aDifferential-algebraic equations _vCongresses.
700	1		_aKerr, Matt, _eeditor
700	1		_aPearlstein, Gregory, _eeditor
942			_2ddc _cBK
999			_c421573 _d421573