Oberwolfach Reports
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Volume 6, Issue 1, 2009, pp. 355–428
DOI: 10.4171/OWR/2009/06
Low Eigenvalues of Laplace and Schrödinger Operators
Organized by: Mark S. Ashbaugh (1), Rafael D. Benguria (2), Richard S. Laugesen (3) and Timo Weidl (4)
(1) Mathematics Department, University of Missouri, 202 Mathematical Sciences Bldg, MO 65211, COLUMBIA, UNITED STATES(2) Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, 22, SANTIAGO DE CHILE, CHILE
(3) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W Green Street, IL 61801-2975, URBANA, UNITED STATES
(4) Mathematisches Institut A, 5. Lehrstuhl, Universität Stuttgart, Pfaffenwaldring 57, 70569, STUTTGART, GERMANY
This workshop brought together researchers interested in eigenvalue problems for Laplace and Schr¨dinger operators. The main topics o of discussions and investigations covered Dirichlet and Neumann eigenvalue problems, inequalities for the spectral gap, isoperimertic problems and sharp Lieb–Thirring type inequalities. The focus included not only the analytic and geometric sides of the problems, but also related probabilistic and computational aspects.
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