## University of Sydney Algebra Seminar

# Pallavi Dani (Louisiana State University)

## Friday 27 May, 12:05-12:55pm, Carslaw 175

### Filling invariants for groups

Every finitely generated group can be endowed with the word metric. Gromov initiated a program of classifying such groups up to quasi-isometry, a coarse equivalence on metric spaces, leading to an interest in quasi-isometry invariants. I will talk about a class of invariants that arise from considering "fillings'' of spheres by balls in a suitable model space for the group. I will then discuss joint work with Abrams, Brady, Duchin and Young investigating certain filling invariants in the class of right-angled Artin groups.