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Geometric aspects of spectral theory. Abstracts from the workshop held July 1–7, 2012. (English) Zbl 1349.00237

Summary: The workshop “Geometric Aspects of Spectral Theory” brought together leading researchers working in various areas of this vast field of mathematics. The meeting featured presentations on some of the most fascinating recent developments in the subject, including five survey talks given by top experts, as well as reports on the progress made by graduate students and postdocs. A number of new stimulating questions were formulated during the open problem session.

MSC:

00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J10 Schrödinger operator, Schrödinger equation
35J20 Variational methods for second-order elliptic equations
58J05 Elliptic equations on manifolds, general theory
58J32 Boundary value problems on manifolds
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
35P15 Estimates of eigenvalues in context of PDEs
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References:

[1] E. B. Davies, Linear Operators and their Spectra, Cambridge Univ. Press, (2007). · Zbl 1138.47001
[2] E. B. Davies, Supplement to ’Linear Operators and their Spectra’, This is available at http://www.mth.kcl.ac.uk/staff/eb_davies/LOTS.html
[3] E. B. Davies and A. Kuijlaars, Spectral asymptotics of the non-self-adjoint harmonic oscillator, J. London Math. Soc. (2) 70 (2004), 420–426. · Zbl 1073.34093
[4] E. B. Davies, Sectorial perturbations of self-adjoint matrices and operators, arXiv 1206.1703
[5] L. N. Trefethen and M. Embree, Linear Operators and their Spectra, Cambridge Univ. Press, (2007). · Zbl 1085.15009
[6] M. Zworski, A remark on a paper of E. B. Davies, Proc. Amer. Math. Soc. 129 (2001), 2955–2957.
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