SMS scnews item created by Boris Lishak at Tue 6 Aug 2019 1446
Type: Seminar
Distribution: World
Calendar1: 12 Aug 2019 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Bishop -- Geodesic Growth in Groups

Geometry and Topology Seminar

Geodesic Growth in Groups

Alex Bishop (UTS)

August 12, 12:00-13:00 in Carslaw 535 Seminar schedule

Please join us for lunch after the talk.

Abstract: The concept of growth in finitely generated groups is well-studied with famous results including examples of groups with intermediate growth, and Gromov’s classification of groups with polynomial growth. In this talk, we will consider a similar problem known as geodesic growth. In particular, we will see a new result which is a step towards the classification of groups with polynomial geodesic growth and thus a step towards the search for a group with intermediate geodesic growth. Furthermore, we will show a formal language classification for the language of geodesic for finitely generated virtually abelian groups.