Colloquium: Yago Antolin (U. Autonoma de Madrid)

April 18, 2019 @ 4:00 pm – 5:00 pm
Keller 401

Speaker: Yago Antolin (U. Autonoma de Madrid)

Title: Growth in graphs with symmetry

Abstract: In the early 1980′s Jim Cannon showed that the Cayley graph of a
group acting properly co-compactly and by isometries on a hyperbolic
space had a growth function (i.e. counting how many vertices at distance
n from a base point) satisfied a linear recursion. This property is now
known as rational growth of the graph. Cannon’s ideas were fundamental
for the development of the theory of automatic groups. In this talk I
will review Cannon’s ideas and I will explain how they can be used to
show the rationality of other growth functions. Part of the talk will
be based on joint works with L. Ciobanu.