van den Berg, Michiel (ed.); Grieser, Daniel (ed.); Hoffmann-Ostenhof, Thomas (ed.); Polterovich, Iosif (ed.) Geometric aspects of spectral theory. Abstracts from the workshop held July 1–7, 2012. (English) Zbl 1349.00237 Oberwolfach Rep. 9, No. 3, 2013-2076 (2012). 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 PDFBibTeX XMLCite \textit{M. van den Berg} (ed.) et al., Oberwolfach Rep. 9, No. 3, 2013--2076 (2012; Zbl 1349.00237) Full Text: DOI 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. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.