Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
\nSpeaker: Cihan Bahran (University of Minnesota)<\/p>\n
\u201cHigh acyclicity of p-subgroup complexes for the symmetric groups\u201d<\/p>\n
Abstract: For any finite group G and a fixed prime p, the topology of the poset of nontrivial elementary abelian p-subgroups contains significant information about the representations of G in characteristic p. For the symmetric group, this poset and its homology remain rather mysterious. A reasonable conjecture is that larger symmetric groups should have topologically more connected posets. I will rephrase this conjecture as a representation stability phenomenon ala Church-Ellenberg-Farb, and provide evidence for it by exhibiting high acyclicity of certain subposets.<\/p>\n
Date: Monday, April 29, 2019
\nTime: 13:40
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Cihan Bahran (University of Minnesota) \u201cHigh acyclicity of p-subgroup complexes for the symmetric groups\u201d Abstract: For any finite group G and a fixed prime p, the topology of the poset of [\u2026] <\/p>\n