On Nielsen-Schreier varieties of algebras

Hybrid talk. For zoom details contact Christian Kaiser (kaiser@mpim...).

The classical Nielsen-Schreier Theorem states that every subgroup of a free group is free. A variety of universal algebras is called Nielsen-Schreier if an analogue of this result holds. It is well known that the variety of Lie algebras is Nielsen-Schreier. I will talk about an attempt to describe varieties of Nielsen-Schreier algebras using the Grobner bases for operads.

This is ongoing joint work with V. Dotsenko.