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The Edmund Landau Minerva Center for Research in Mathematical Analysis and Related Areas

German-Israeli Workshop on Spectral and Scattering Theory

Dates: May 10-14, 1999.

Organizers: M. Ben-Artzi (Jerusalem), M. Demuth (Clausthal).

The workshop brought together 15 German mathematicians and a similar number of Israelis, all working in the area of spectral and scattering theory related to the mathematical formalism of quantum mechanics. In addition, some talks were given by visitors to the Hebrew University, such as Prof. Victor Ivrii (Toronto, Canada), Prof. A. Laptev (Stockholm, Sweden) and Prof. V. Maz'ya (Linkoping, Sweden).

The talks covered a broad spectrum of topics. The main ones were:

  1. Operators with random potentials and Markov operators
    (K.T. Strum, M. Demuth, Y. Last, W. Kirsch, M. Klein)
  2. Estimates of Eigenvalues
    (V. Ivrii, Y. Pinchover, A. Noll)
  3. Electric and magnetic fields
    (J. Nemirovsky, R. Hempel, H. Leschke)
  4. General theory of Schrodinger operators
    (V. Maz'ya, A.W. Renger, A. Laptev, R. Nagel)
In addition, there were talks related to the linear underlying theory of pseudodifferential operators with singularities, spectral theory on manifolds, and trees and adiabatic theorems.

May 10th, 1999
9:00-10:00 B.W. Schulze (Potsdam Univ.) Pseudo-differential calculus with parameter-dependent meromorphic symbols on manifolds with conical singularities.
10:00-11:00 W. Kirsch Localization/delocalization transition for random Schroedinger operators with decaying randomness.
11:30-12:30 P. Stollman (Frankfurt Univ.)
14:00-15:00 Y. Pinchover (Technion) Eigenfunctions estimates for Schroedinger operators via perturbation theory of positive solutions of elliptic operators.
15:00-16:00 A. Elgart (Technion) Adiabaic theorem without a gap condition.
16:00-17:00 A. Noll (Clausthal Univ.) Domain perturbations, capacity and shift of eigenvalues.

May 11th, 1999
9:00-10:00 R. Nagel (Tuebingen Univ.) Spectral theory and asymptotics for $C_O$ semigroups.
10:00-11:00 V. Ivrii (U. of Toronto) Sharp eigenvalue asymptotics for periodic operators.
11:30-12:30 R. Brooks (Technion) Isoscattering Schottky manifolds.
14:00-15:00 L. Wels (Karlsruhe Univ.) Regularity of parabolic differential equations and spectral theory.
15:00-16:00 H. Leschke (Erlangen Univ.) Where is the borderline between classical and quantum Lifshits tailing in magnetic fields?
16:00-17:00 A. Kozhevnikov (Univ. of Haifa) Analyticity of the semigroup generated by the operator of a viscous comressible fluid.

May 12th, 1999
9:00-10:00 V. Maz'ya (Linkoping Univ.) On positivity of the Schroedinger operator.
10:00-11:00 Y. Last (Hebrew Univ.) Spectral structure of Anderson type Hamiltonians.
11:30-12:30 R. Hempel (Braunschweig Univ.) Magnetic Schroedinger operators and Eigenvalues in gaps.
12:30-13:00 K.T. Strum (Bonn Univ.) Nonlinear Markov operators, heat flow for harmonic maps and spectral theory.

May 13th, 1999
9:00-10:00 A. Laptev (Royal Inst. of Tech., Sweden) Sharp Lieb-Thirring inequalities in high dimensions.
10:00-11:00 M. Klein (Potsdam Univ.) Metastability in stochastic dynamic of disordered mean-field-models.
11:30-12:30 Ch. Remling (Osnabrueck Univ.) One-demensional Schroedinger operators with long range potentials.
14:00-15:00 H. Siedentop (Regensburg Univ.) Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field.
15:00-16:00 K. Naimark (Weizmann Inst.)

May 14th, 1999
9:00-10:00 W. Jaeger (Heidelberg Univ.)
10:00-11:00 W. Renger (Clausthal Univ.) On an obstacle scattering problem.
11:30-12:30 J. Nemirovsky (Hebrew Univ.) Limiting absorption principle for "square roots" (first order systems).

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