SMS scnews item created by Tom Goertzen at Sat 10 May 2025 1239
Type: Seminar
Distribution: World
Expiry: 18 May 2025
Calendar1: 16 May 2025 1200-1300
CalLoc1: Carslaw 175
CalTitle1: Automorphism groups of rooted trees
Auth: goertzen@1.145.86.13 (tgoe0324) in SMS-SAML
Algebra Seminar: Combes -- Automorphism groups of rooted trees
Lewis Combes (University of Sydney) will be speaking in the algebra seminar. We will go
out for lunch after the talk---all are welcome to join!
When: 12-1pm Friday May 16
Where: Carslaw 175
Title: Automorphism groups of rooted trees
Abstract: In this talk we will discuss groups whose elements arise as automorphisms of
finite and infinite trees. Of particular interest are automorphism groups of regular
trees, which display self-similarity properties, leading to strange and often
counterintuitive phenomena. We will discuss the Grigorchuk group, a group famous for
having many interesting properties, as well as some other groups, and some links to
topology and number theory. The talk is expository and aimed at a wide audience.