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Christiane Tretter: Operator theory and applications: a successful interplay

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Time: Wed 2015-02-04 15.15 - 16.15

Lecturer: Christiane Tretter, Universität Bern and Stockholms Universitet

Location: Lecture hall Oskar Klein, AlbaNova

Schedule

14.00-15.00 Pre-colloquium by PhD student Christoph Neuner (Room FB42, AlbaNova)
15:15-16:15 Colloquium lecture by Christiane Tretter (Room Oskar Klein, AlbaNova)
16:15-17:00 SMC social get together with refreshments

Abstract

The theory of linear operators is an important tool to investigate the stability of physical systems or their time evolution. In turn, applications from physics and engineering have contributed considerably to the advances of operator theory. The most prominent example of this fruitful interaction is the interplay between quantum mechanics and the theory of self-adjoint operators in Hilbert spaces.

The talk will focus on more recent applications of operator theory, including magnetohydrodynamics and hydrodynamics. Special attention will be paid to non-selfadjoint eigenvalue problems. Here numerical calculations may fail to produce reliable results and, thus, rigorous analytical information provided by operator theoretic methods is highly desirable.

Title Date
Dmitry Khavinson: "Between two truths of the real domain, the easiest and shortest path quite often passes through the complex domain." P. Painleve, 1900. A variation on the theme of analytic continua Dec 12, 2015
Kathryn Hess: A calculus for knot theory Nov 06, 2015
Gregory F. Lawler: Self-avoiding motion Oct 09, 2015
Claudio Procesi: Analytic and combinatorial aspects of the Non Linear Schroedinger equation (NLS) on a torus May 27, 2015
Alexander Razborov: Continuous Combinatorics Mar 18, 2015
Christiane Tretter: Operator theory and applications: a successful interplay Feb 04, 2015