Wednesday 8 April 2026 at 10:30 am, as part of the Al@Bicocca seminar cycle and in collaboration with Geometry, Algebra, and their Applications (GAA) seminar series by Polytechnic of Milano, Corentin Bodart (University of Oxford) will give the following talk
Title: On groups with few Busemann points
Abstract: The horofunction boundary of groups is a way to compactify any metric space. It was introduced by Gromov, and primarily studied for hyperbolic groups. I’ll explain why studying the action of more general groups on their boundary - in particular finding finite orbits and small invariant subsets - can be interesting from an algebraic point of view. A natural invariant subset to look at consists of Busemann points, i.e. limits of geodesics rays. In joint work with Liran Ron- George and Ariel Yadin, and with Kenshiro Tashiro, we characterise when the set of Busemann points is finite and explore when it can be countable.
Information to attend
The seminar will be held in Room U6-16 (U6 Building | Piazza dell'Ateneo Nuovo 1, Milano) and will also be available online by this link.
For more information, visit the website