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Hodge theory and L²-analysis

Author: Lizhen Ji; Steven Zucker
Publisher: Somerville, Massachusetts : International Press ; Beijing, China : Higher Education Press, [2017] ©2017.
Series: Advanced lectures in mathematics (International Press), v. 39.
Edition/Format:   Print book : EnglishView all editions and formats

This volume consists of survey papers and introductions pertaining to Hodge theory, variation of Hodge structures, L(2)-methods in complex analysis and geometry, and related results in algebraic  Read more...


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Document Type: Book
All Authors / Contributors: Lizhen Ji; Steven Zucker
ISBN: 9781571463517 1571463518
OCLC Number: 1016151965
Notes: "In November 2014, a conference titled 'Hodge theory and L²-cohomology was held in Steve [Zucker]'s honor at Johns Hopkins University. This book is based on the conference. Besides contributions from most of the speakers, several other people were also invited to contribute."- preface
Description: xii, 597 pages : illustrations ; 26 cm.
Contents: Preface / Lizhen Ji --
The research career of Steven Zucker: an autobiographical account --
On the Hodge theory of stratified spaces / Pierre Albin --
Simpson's construction of varieties with many local systems / Donu Arapura --
Motives and algebraic cycles: a selection of conjectures and open questions / Joseph Ayoub --
Resolution of singularities of differential forms and Hsiang-Pati coordinates / André Belotto da Silva, Edward Bierstone --
Nilpotent cones and their representation theory / P. Brosnan, G. Pearlstein, C. Robles --
Recent results on cohomology jump loci / Nero Budur, Botong Wang --
On semipositivity, injectivity and vanishing theorems / Osamu Fujino --
The business of height pairings / Souvik Goswami, James D. Lewis --
Extremal degenerations of polarized Hodge structures / Mark Green, Phillip Griffiths, Colleen Robles --
Singularities in arbitrary charecteristic via jet schemes / Shihoko Ishii, Ana J. Reguera --
Extended period domains, algebraic groups, and higher Albanese manifolds / Kazuya Kato, Chikara Nakayama, Sampei Usui --
Motivic and automorphic aspects of the reductive Borel-Serre compactification / Arvind N. Nair --
An update of extension theorems by the L² estimates for ơ̄ / Takeo Ohsawa --
A young person's guide to mixed Hodge modules / Morihiko Saito --
Perverse sheaves and the reductive Borel-Serre compactification / Leslie Saper --
Nonlinear harmonic forms and indefinite Bochner formulas / Mark Stern.
Series Title: Advanced lectures in mathematics (International Press), v. 39.
Responsibility: edited by Lizhen Ji.


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