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MATHEMATICS
COLLOQUIUM:
“Operator theory and applications: a
successful interplay“
|
Date: |
Download-files: |
Time: |
|
Wednesday, 04. Feb. 2015 |
Audio-only-Recording as MP3-File
(smallest possible size):
- Audio.mp3 (ca.29Mb) ============================================ Video-Recording for any system with MP4-support:
- Video.mp4 (ca.214Mb) |
15:15 – 16:15 |
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.