Wednesday, February 21, 2024 - 09:00 in ZOOM - Video Conference
Free energy of a Coulomb gas on a Jordan domain
A talk in the Seminar Zufallsmatrizen series by
Fredrik Viklund
| Abstract: |
I will report on recent joint work with Kurt Johansson (KTH). We consider a
Coulomb gas restricted to a Jordan domain in the complex plane. We ask how
the asymptotic expansion of the free energy, as the number of particles tends
to infinity, depends on the geometry of the domain. I will explain how this
problem is related to the Grunsky operator -- a classical tool in complex
analysis -- and how this in turn reveals a close connection to the Loewner
energy and other interesting domain functionals. I will further discuss the
effect of corners, which turns out to be universal in a certain sense. Most main
players (Grunsky, Loewner, etc) will be introduced in the talk.
Please contact Lucas Hackl
(Lucas.Hackl@unimelb.edu.au) for details regarding access
Within the CRC this talk is associated to the project(s): C6 |
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