This workshop, sponsored by AIM and the NSF, will focus on new developments in Gibbsian line ensembles, with particular emphasis on their applications to models in the Kardar-Parisi-Zhang (KPZ) universality class.

Over the past decade, Gibbsian line ensembles have become a central framework and indispensable tool for understanding large stochastic systems. In a range of models from statistical mechanics, line ensemble techniques have been used to: establish tightness and refined convergence results, reveal structural properties and hidden symmetries, strongly characterize existing models through limited input, and construct new universal scaling limits.

The workshop aims to advance these directions and explore new applications, with special interest in half-space and finite-space models under various boundary conditions.