Next date: Tuesday, September 21, 2021, from 11:00 - 15:00, at Jacobs University Bremen (Research I, room 120).
The talks will also be streamed online via zoom; please write an email to Sören Petrat (s.petrat AT jacobs-university.de) for the access data.
|September 21, 2021, 11:00-11:45||
Fiona Gottschalk (TU Braunschweig)
Correlation Asymptotics of Classical Lattice Spin Systems in the High-Temperature Limit and the Witten Laplacian
Abstract: Subject of our considerations is a spectral theoretic application of the Witten Laplacian in classical statistical mechanical lattice spin systems in the limit of high temperatures. The involved Hamiltonian function consists of an on-site potential term given by even polynomials and a finite range interaction term, both of which are not assumed to be translation invariant. In particular, no specific spatial structure is imposed on the model.
|September 21, 2021, 11:45-12:30||
Konstantin Merz (TU Braunschweig)
Eigenvalue Estimates for Schrödinger Operators Using Fourier Analysis
Abstract: Estimating the location and accumulation rate of eigenvalues of Schrödinger operators is a classic problem in spectral theory and mathematical physics. For "short-range" potentials these problems can often be effectively treated using Fourier analytic methods like the Tomas-Stein restriction theorem. As an example we derive eigenvalue asymptotics for Schrödinger-type operators whose kinetic energy vanishes on a codimension one submanifold. Time permitting, we discuss another example: locating eigenvalues of ordinary Schrödinger operators with randomized, long-range, complex-valued potentials using a randomized version of the Tomas-Stein theorem by Bourgain. The talk is based on joint work with Jean-Claude Cuenin.
|September 21, 2021, 14:00-15:00||
Jens Hoppe (TU Braunschweig)
Recent Progress on Membrane Theory
Abstract: The talk will be based on results reported in my recent arxiv-preprints 2107.03319, 2107.00569, 2103.16540, 2103.08653, 2102.03904, 2101.04495, 2101.01803.