Colloquium: June 23, 2026 (14:00, room 614). Speaker: Michael Brandenbursky (Ben Gurion). Title: “Lp-metrics on diffeomorphism groups: old and new results”.
Invariant metrics appear in most branches of mathematics. Examples include word metrics (entropy, fragmentation) and non-discrete metrics (Hofer norm and Lp) in symplectic, differential geometries and dynamics. In group theory examples include commutator length and primitive length. After providing some history and motivation, I will focus on a group G of volume-preserving diffeomorphisms of a compact smooth orientable manifold. In particular, I will discuss Lp-geometry of this group and which groups can be quasi-isometrically embedded in G. In addition, if time permits I will talk about the space of curves on M and its Lp-geometry.This talk is based on joint works with M. Marcinkowski and E. Shelukhin.
