Spectral geometry
 Meeting
 International Conference on Spectral Geometry (2010 : Dartmouth College)
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, 2012.
 Copyright notice
 ©2012
 Physical description
 ix, 339 pages : illustrations ; 26 cm.
 Series
 Proceedings of symposia in pure mathematics ; v. 84.
Access
Available online

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QA1 .A626 V.84

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QA1 .A626 V.84
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Contributors
 Contributor
 Barnett, Alex, 1972 December 7 editor of compilation.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Publisher's Summary
 This volume contains the proceedings of the International Conference on Spectral Geometry, held July 1923, 2010, at Dartmouth College, Dartmouth, New Hampshire. Eigenvalue problems involving the Laplace operator on manifolds have proven to be a consistently fertile area of geometric analysis with deep connections to number theory, physics, and applied mathematics. Key questions include the measures to which eigenfunctions of the Laplacian on a Riemannian manifold condense in the limit of large eigenvalue, and the extent to which the eigenvalues and eigenfunctions of a manifold encode its geometry. In this volume, research and expository articles, including those of the plenary speakers Peter Sarnak and Victor Guillemin, address the flurry of recent progress in such areas as quantum unique ergodicity, isospectrality, semiclassical measures, the geometry of nodal lines of eigenfunctions, methods of numerical computation, and spectra of quantum graphs. This volume also contains minicourses on spectral theory for hyperbolic surfaces, semiclassical analysis, and orbifold spectral geometry that prepared the participants, especially graduate students and young researchers, for conference lectures.
(source: Nielsen Book Data)
Subjects
 Subject
 Spectral geometry > Congresses.
 Global analysis, analysis on manifolds  Partial differential equations on manifolds; differential operators  Isospectrality.
 Global analysis, analysis on manifolds  Partial differential equations on manifolds; differential operators  Spectral problems; spectral geometry; scattering theory.
 Global analysis, analysis on manifolds  Partial differential equations on manifolds; differential operators  Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity.
 Numerical analysis  Partial differential equations, boundary value problems  Eigenvalue problems.
 Partial differential equations  Spectral theory and eigenvalue problems  Estimation of eigenvalues, upper and lower bounds.
 Number theory  Discontinuous groups and automorphic forms  Spectral theory; Selberg trace formula.
 Differential geometry  Global differential geometry  Global Riemannian geometry, including pinching.
 Ordinary differential equations  Ordinary differential operators  Eigenvalues, estimation of eigenvalues, upper and lower bounds.
 Ordinary differential equations  Asymptotic theory  Asymptotic expansions.
 Manifolds and cell complexes  Differential topology  Topology and geometry of orbifolds.
Bibliographic information
 Publication date
 2012
 Copyright date
 2012
 Responsibility
 Alex H. Barnett, Carolyn S. Gordon, Peter A. Perry, Alejandro Uribe, editors.
 Series
 Proceedings of symposia in pure mathematics ; v. 84
 ISBN
 9780821853191 (alk. paper)
 0821853198 (alk. paper)