Pure PGR Seminar - Graph products of groups, Motiejus Valiunas (Southampton) Seminar
- Time:
- 14:00 - 15:00
- Date:
- 3 October 2017
- Venue:
- LT5B, Room 5025, Building 54, Mathematical Sciences, University of Southampton, Highfield Campus, SO17 1BJ
For more information regarding this seminar, please email Megan Palser at M.F.Palser@southampton.ac.uk .
Event details
Graph products form a fairly new class of groups, first formally introduced and studied by Elisabeth Green in 1990. These groups ‘interpolate’ between direct and free products, and generalise the notion of right-angled Artin groups. Given a property that free products (and maybe direct products) are known to satisfy, a natural question arises: do graph products satisfy this property? For instance, it is known that most graph products act on tree-like spaces (quasi-trees) in a nice way (acylindrically), just like free products.
In the spirit of some of the less intimidating methods in geometric group theory, we can draw pictures in order to study properties of graph products – for example, their actions on quasi-trees. In this talk we will discuss such actions and, if time permits, how they are related to solving systems of equations over graph products.
Speaker information
Motiejus Valiunas , Southampton