Geometric and spectral analysis

by Albin, Pierre Jakobson, Dmitry Rochon, Frédéric

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Title Statements

Full title :Geometric and spectral analysis / Pierre Albin, Dmitry Jakobson, Frederic Rochon, editors.

Edition Statements

Publication Date:©2014

Publication Statements

Publisher(s):American mathematical Society, Centre de Recherches Mathématiques
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©2014

Notes

"CRM Workshops on: Geometry of Eigenvalues and Eigenfunctions, June 4-8, 2012, Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, July 2-6, 2012, Spectral Invariants on Non-compact and Singular Spaces, July 23-27, 2012, Centre de Recherches Mathematiques, University de Montreal, Montreal, Quebec, Canada."--Cover

The Physical Object

Description:1 online resource (378 pages) : : illustrations

Edition Identifiers

ISBN:9781470420598, 1470420597
oclc:ocn908072019
LC Classification:QC20.7.S64
Dewey Decimal:516

Cover -- Title page -- Contents -- Preface -- A New Proof of a Bismut-Zhang Formula for Some Class of Representations -- 1. Introduction -- 2. The idea of the proof -- 3. The Milnor metric and the Farber-Turaev torsion -- 4. The Ray-Singer norm of the Refined Analytic Torsion -- 5. The Determinant Line Bundle over the Space of Representations -- 6. The Bismut-Zhang theorem for some non-unitary representations -- References -- Tunneling, the Quillen Metric and Analytic Torsion for High Powers of a Holomorphic Line Bundle -- 1. Introduction

""2. Proofs of the main results""""3. Further remarks on tunneling and outlook""; ""References""; ""Simple Spectrum and Rayleigh Quotients""; ""1. Introduction""; ""2. The Conformal class""; ""3. The KÃ?hler class""; ""Acknowledgments""; ""References""; ""Smooth and Singular KÃ?hlerâ€?Einstein Metrics""; ""1. Introduction""; ""2. The \KE equation""; ""3. \K edge geometry""; ""4. Existence and non-existence""; ""5. Energy functionals""; ""6. The Ricci continuity method""; ""7. A priori estimates for Mongeâ€?AmpÃ?re equations""; ""8. The asymptotically logarithmic world""

9. The logarithmic Calabi problemAcknowledgements -- References -- Complex …

Subjects

Analyse géométrique -- Congrès Calculus of variations and optimal cont… Conference papers and proceedings Differential geometry -- Classical diff… Functional analysis -- Linear function … Geometric analysis Geometric analysis -- Congresses Global analysis, analysis on manifolds … Probability theory and stochastic proce… Spectrum analysis Spectrum analysis -- Congresses