TACL school: course by Brian Davey

Warwick Grant

Title of the course: “An invitation to natural dualities in general and Priestley duality in particular”

Course description: “I will assume that participants have a basic knowledge of universal algebra and lattice theory. The course will commence with a discussion of Birkhoff’s Representation for Finite Distributive Lattices (as the lattice of down-sets of a finite ordered set) and work from there to Priestley duality for bounded distributive lattices. Priestley duality will be the stepping off point for an introduction to the theory of Natural Dualities. Applications to Heyting algebras and Ockham algebras will be used to illustrate the theory.

Course material:

Lecture 1 beamer.