Dear Colleagues and Students,
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Cihan Bahran (University of Minnesota)
“High acyclicity of p-subgroup complexes for the symmetric groups”
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.
Date: Monday, April 29, 2019
Place: Mathematics Seminar Room, SA – 141