Mathematics Algebra Seminar - Ualbai Umirbaev
Date: September 27, 2022
Time: 1:00 p.m. - 2:00 p.m.
Location: Faculty/Administration # 1140 | Map
Speaker: Ualbai Umirbaev, PhD, Department of Mathematics, Wayne State University
Title: An effective criterion for Nielsen–Schreier varieties
Abstract: 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 joint work with V. Dotsenko.