Geometric and Spectral Analysis
Will be published approx. on 30. March 2015
Book
Paperback/Softback
366 pages
978-1-4704-1043-8 (ISBN)
Description
In 2012, the Centre de Recherches Mathematiques was at the center of many interesting developments in geometric and spectral analysis, with a thematic program on Geometric Analysis and Spectral Theory followed by a thematic year on Moduli Spaces, Extremality and Global Invariants.
This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012.
The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kahler-Einstein metrics, analytic torsion, and Strichartz estimates.
This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012.
The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kahler-Einstein metrics, analytic torsion, and Strichartz estimates.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
524 gr
ISBN-13
978-1-4704-1043-8 (9781470410438)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Pierre Albin, University of Illinois at Urbana-Champaign, IL, USA.
Dmitry Jakobson, McGill University, Montreal, Quebec, Canada.
Frederic Rochon, Universite du Quebec a Montreal, Quebec, Canada.
Dmitry Jakobson, McGill University, Montreal, Quebec, Canada.
Frederic Rochon, Universite du Quebec a Montreal, Quebec, Canada.
Content
A new proof of a Bismut-Zhang formula for some class of representations by M. Braverman and B. Vertman
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle by R. J. Berman
Simple spectrum and Rayleigh quotients by V. Guillemin, E. Legendre, and R. Sena-Dias
Smooth and singular Kahler-Einstein metrics by Y. A. Rubinstein
Complex $b$-manifolds by G. A. Mendoza
Iterative structures on singular manifolds by B.-W. Schulze
The fundamental gap and one-dimensional collapse by Z. Lu and J. Rowlett
The logarithmic singularities of the Green functions of the conformal powers of the Laplacian by R. Ponge
A symbolic calculus for Fourier integral operators by Y. Safarov
Strichartz estimates on exterior polygonal domains by D. Baskin, J. L. Marzuola, and J. Wunsch
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates by N. Burq and G. Lebeau
Random smooth functions on compact Riemannian manifolds by L. I. Nicolaescu
On the exponential decay of Laplacian eigenfunctions in planar domains with branches by B. T. Nguyen, D. S. Grebenkov, and A. L. Delytsin
Bounds on the principal frequency of the $p$-Laplacian by G. Poliquin
Tunneling, the Quillen metric and analytic torsion for high powers of a holomorphic line bundle by R. J. Berman
Simple spectrum and Rayleigh quotients by V. Guillemin, E. Legendre, and R. Sena-Dias
Smooth and singular Kahler-Einstein metrics by Y. A. Rubinstein
Complex $b$-manifolds by G. A. Mendoza
Iterative structures on singular manifolds by B.-W. Schulze
The fundamental gap and one-dimensional collapse by Z. Lu and J. Rowlett
The logarithmic singularities of the Green functions of the conformal powers of the Laplacian by R. Ponge
A symbolic calculus for Fourier integral operators by Y. Safarov
Strichartz estimates on exterior polygonal domains by D. Baskin, J. L. Marzuola, and J. Wunsch
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates by N. Burq and G. Lebeau
Random smooth functions on compact Riemannian manifolds by L. I. Nicolaescu
On the exponential decay of Laplacian eigenfunctions in planar domains with branches by B. T. Nguyen, D. S. Grebenkov, and A. L. Delytsin
Bounds on the principal frequency of the $p$-Laplacian by G. Poliquin