Polynomial functors as affine spaces

  • Arthur Bik (Universität Bern)
Live Stream


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.


3/17/20 2/21/22

Nonlinear Algebra Seminar Online (NASO)

MPI for Mathematics in the Sciences Live Stream

Katharina Matschke

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