You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Bob Oliver (Universit\u00e9 Sorbonne Paris Nord)<\/p>\n
\u201cRealizability and tameness of fusion systems\u201d<\/p>\n
Abstract: A saturated fusion system over a finite p-group S is a category whose objects are the subgroups of S and whose morphisms are injective homomorphisms between the subgroups satisfying certain axioms. A saturated fusion system F over S is realizable if there is a finite group G with Sylow p-subgroup S such that the morphisms in F are exactly those induced by conjugation in G. A normal fusion subsystem in F is centric in F if it contains its centralizer in F. I will describe recent work with Carles Broto, Jesper M\u00f8ller, and Albert Ruiz, where we show among other results that a saturated fusion system F is realizable if there is a normal, realizable subsystem E in F that is centric in F. Another result is that every realizable fusion system F is tame; i.e., realizable by a finite group that has \u201cjust as many\u201d automorphisms as F (to be made precise). Stated in such terms, these results depend on the classification of finite simple groups, but I will also give more precise statements formulated in such a way that their proofs are independent of the classification.<\/p>\n
Date: Monday, May 6, 2024
\nTime: 13:30 UTC+3
\nPlace: Mathematics Seminar Room SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Bob Oliver (Universit\u00e9 Sorbonne Paris Nord) \u201cRealizability and tameness of fusion systems\u201d Abstract: A saturated fusion system over a finite p-group S is a category whose objects are the subgroups of S and whose morphisms [\u2026] <\/p>\n