Canonical extensions of lattice expansions: the case of finitely generated varieties Hilary Priestley The theory of canonical extensions of (bounded) lattices with additional operations is now well developed. This talk will highlight the special, and very amenable, structure theory that results when the algebras are drawn from a finitely generated lattice-based variety. The methods involve ideas from topological algebra, duality theory and universal algebra. (A quite different approach using techniques commonly employed in investigating canonical extensions has led Mai Gehrke and Jacob Vosmaer to some of the same results.) By way of illustration I shall show how discriminator varieties fit into the picture; such varieties play a useful role in the study of certain substructural logics.