Topics on the Coulomb gas method

Prof. Dr. Julien Dubédat (Columbia University)

04 October 2016, 12:00 - 14:00, HG G 19.2
06 October 2016, 12:00 - 14:00, HG G 19.2
11 October 2016, 12:00 - 14:00, HG G 19.2

Abstract

The Coulomb gas method, in the context of two-dimensional statistical mechanics, exploits combinatorial relations between, on the one hand, loop or spin models, and on the other hand scalar models, conjectured to converge to a Gaussian Free Fields. In these introductory lectures, I will describe these relations and highlight some open problems and conjectures in the area.