Abstract for the talk on 28.04.2020 (17:40 h)Nonlinear Algebra Seminar Online (NASO)
Arthur Bik (Universität Bern)
Polynomial functors as affine spaces
See the video of this talk.
Polynomial functors are like spaces of objects (e.g. k-way tensors) without fixed size and come with an action of (products of) general linear groups. The aim of this talk is to answer the following question: what happens when you replace vector spaces by polynomial functors when defining affine spaces?
I will define polynomial functors, the maps between them and their Zariski-closed subsets and give examples of these things. Then, I will discuss how to extend some of the basic results from affine algebraic geometry to this setting. This is joint work with Jan Draisma, Rob Eggermont and Andrew Snowden.