Fermionic Gaussian Free Field and Connections to Random Lattice Models

Explore a comprehensive lecture on the Fermionic Gaussian free field and its connections to random lattice models. Delve into determinantal and permanental point processes, understanding their relationships to fermionic and bosonic variables in physics. Examine the classical discrete Gaussian free field and its fermionic counterpart, expressed through fermionic variables. Discover examples and properties of these objects, and investigate their connections to the degree field of uniform spanning trees and the height-1 field of the Abelian sandpile model. Gain insights from this collaborative research presented by Wioletta Ruszel of Utrecht University at IPAM's Vertex Models workshop, offering a deep dive into algebraic and probabilistic aspects of universality in these mathematical structures.