Speaker
Prof.
Fredrik Viklund
(KTH)
Description
Consider a Coulomb gas of charged particles confined to a set in the complex plane. I will discuss the following question:
How does the asymptotic expansion of the free energy depend on the geometry of the set, as the number of particles tends to infinity? When the set is a Jordan domain, curve or arc, this problem is related to Grunsky- operators associated to the set, revealing a close connection to the Loewner energy and other interesting domain functionals.
Based joint works with K. Courteaut (NYU) and K. Johansson (KTH).
Author
Prof.
Fredrik Viklund
(KTH)