08/03/2023, 13:30 — 14:30 — Room P3.10, Mathematics Building
Marcel de Jeu, Leiden University
Free objects in algebraic and analytic categories
In this expository lecture, we will explain how results from universal algebra can be used to construct free objects in various algebraic categories, such as the free unital vector lattice algebra over a vector space. Starting from these free objects of an algebraic nature, we then proceed to construct normed objects, such as unital Banach lattice algebras, that solve universal problems in analytic categories. These, in turn, can be used to construct free objects in larger analytic categories, such as the free complete locally convex-solid topological vector lattice algebra over a Banach space.
This is joint work with Walt van Amstel.
