"Geometry and Analysis on Groups" Research Seminar

Time: 2018.04.17, 15:00–17:00
Location: Seminarraum 10, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Growth functions in groups and algebras."
Speaker: Yuri Bahturin (Memorial University of Newfoundland)
Abstract: The growth functions appearing in the groups are based on the word length of elements of the free group. In the case of algebras, the growth functions are based on the degree of elements in a free algebra (associative, Lie, etc.) Based mostly on the joint work with Alexander Olshanskiy, I will talk about the results concerning various growth functions, which in some cases show the similarity of both cases and in some other cases reveal the difference. These situations include the growth of actions of groups on the sets and the growth of modules over free associative and group algebras. I will mention the phenomenon of the distortion appearing when a group (an algebra) is embedded in another group (an algebra). Time permitting, I will talk about the relative growth of subgroups in free groups and subalgebras in free Lie algebras.