About this product

Product Identifiers

PublisherCambridge University Press

ISBN-10110754629X

ISBN-139781107546295

eBay Product ID (ePID)9038791159

Product Key Features

Number of Pages521 Pages

Publication NameRecent Advances in Hodge Theory : Period Domains, Algebraic Cycles, and Arithmetic

LanguageEnglish

SubjectTopology, Algebra / General, Geometry / Algebraic

Publication Year2016

TypeTextbook

AuthorGregory Pearlstein

Subject AreaMathematics

SeriesLondon Mathematical Society Lecture Note Ser.

FormatTrade Paperback

Dimensions

Item Height1.1 in

Item Weight25.8 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2015-035249

Dewey Edition23

Series Volume NumberSeries Number 427

IllustratedYes

Dewey Decimal514/.74

Table Of ContentPreface Matt Kerr and Gregory Pearlstein; Introduction Matt Kerr and Gregory Pearlstein; List of conference participants; Part I. Hodge Theory at the Boundary: Part I(A). Period Domains and Their Compactifications: Classical period domains R. Laza and Z. Zhang; The singularities of the invariant metric on the Jacobi line bundle J. Burgos Gil, J. Kramer and U. Kuhn; Symmetries of graded polarized mixed Hodge structures A. Kaplan; Part I(B). Period Maps and Algebraic Geometry: Deformation theory and limiting mixed Hodge structures M. Green and P. Griffiths; Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory S. Usui; The 14th case VHS via K3 fibrations A. Clingher, C. Doran, A. Harder, A. Novoseltsev and A. Thompson; Part II. Algebraic Cycles and Normal Functions: A simple construction of regulator indecomposable higher Chow cycles in elliptic surfaces M. Asakura; A relative version of the Beilinson-Hodge conjecture R. de Jeu, J. D. Lewis and D. Patel; Normal functions and spread of zero locus M. Saito; Fields of definition of Hodge loci M. Saito and C. Schnell; Tate twists of Hodge structures arising from abelian varieties S. Abdulali; Some surfaces of general type for which Bloch's conjecture holds C. Pedrini and C. Weibel; Part III. The Arithmetic of Periods: Part III(A). Motives, Galois Representations, and Automorphic Forms: An introduction to the Langlands correspondence W. Goldring; Generalized Kuga-Satake theory and rigid local systems I - the middle convolution S. Patrikis; On the fundamental periods of a motive H. Yoshida; Part III(B). Modular Forms and Iterated Integrals: Geometric Hodge structures with prescribed Hodge numbers D. Arapura; The Hodge-de Rham theory of modular groups R. Hain.

SynopsisIn its simplest form, Hodge theory is the study of periods - integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture. Its mixture of high-quality expository and research articles make it a useful resource for graduate students and seasoned researchers alike., Hodge 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.

LC Classification NumberQA564.R426 2016