Recorded 27 January 2026. Kurt Johansson of the KTH Royal Institute of Technology presents "Planar Coulomb gas on a Jordan arc" at IPAM's New Interactions Between Probability and Geometry Workshop. Abstract: I will discuss the asymptotics of the partition function of a planar Coulomb gas confined to an analytic Jordan arc. The asymptotics is given in terms of a Fredholm determinant of an operator called the arc-Grunsky operator that we introduce. It can also be expressed in terms of appropriate conformal maps. The sitaution is similar, but also different, to that of a Coulomb gas on a Jordan curve which relates to the Loewner energy of the curve. In the talk I will outline some of the arguments in the proof. This is joint work with Klara Courteaut and Fredrik Viklund. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/new-interactions-between-probability-and-geometry/?tab=overview