When:

April 18, 2019 @ 4:00 pm – 5:00 pm

2019-04-18T16:00:00-10:00

2019-04-18T17:00:00-10:00

Where:

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.