Giovedì 11 Aprile alle 14.30 in Aula Seminari si terrà il seminario di Michael Brandenbursky (Ben Gurion University of the Negev) dal titolo "Invariant norms on diffeomorphism groups: old and new results". Di seguito l'abstract.
Invariant norms appear in most branches of mathematics. Examples include word norms (autonomous, entropy, fragmentation) and non-discrete norms (Hofer norm) in symplectic geometry. 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 L^p-geometry of this group and which groups can be quasi-isometrically embedded in G. This talk is partially based on a joint work with M. Marcinkowski and E. Shelukhin.