《Hodge理論和L2分析(英文版)》內(nèi)容涉及了Zucker教授研究和關(guān)注的相關(guān)領(lǐng)域,由Ayoub, Bierstone, Griffiths, M. Green, Hain, Ohsawa等該領(lǐng)域的知名專家精心寫成,包含了關(guān)于Hodge理論、復(fù)分析和幾何中的L2方法以及代數(shù)幾何中的相關(guān)結(jié)果的研究和介紹性文章。《Hodge理論和L2分析(英文版)》將是關(guān)于Hodge理論、Hodge結(jié)構(gòu)的變分、復(fù)分析和代數(shù)幾何中的L^2方法的新研究成果的一本頗具價值的介紹和參考資料。
作者簡介
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圖書目錄
Preface The Research Career of Steven Zucker: An Autobiographical Account On the Hodge Theory of Stratified Spaces Simpson's Construction of Varieties with Many Local Systems Motives and Algebraic Cycles: A Selection of Conjectures and Open Questions Resolution of Singularities of Differential Forms and Hsiang-Pati Coordinates Nilpotent Cones and Their Representation Theory Recent Results on Cohomology Jump Loci On Semipositivity,Injectivity and Vanishing Theorems The Business of Height Pairings Extremal Degenerations of Polarized Hodge Structures Deligne-Beilinson Cohomology of Affine Groups Singularities in Arbitrary Characteristic via Jet Schemes Extended Period Domains, Algebraic Groups, and Higher Albanese Manifolds Motivic and Automorphic Aspects of the Reductive Borel-Serre Compactification An Update of Extension Theorems by the L2 Estimates for ? A Young Person's Guide to Mixed Hodge Modules Perverse Sheaves and the Reductive Borel-Serre Compactification Nonlinear Harmonic Forms and Indefinite Bochner Formulas