Dear Colleagues and Students,
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Bernardo Villarreal (National Autonomous University of Mexico)
“A Lie group analogue of the coset poset of abelian subgroups”
Abstract: To a group G and a family of subgroups F, one can associate a simplicial complex C(F,G), whose simplices are in correspondence with the chains of cosets of G, with respect to F. Abels and Holz studied some homotopy properties of C(F,G), and their relationship with G. For example, C(F,G) is simply-connected if and only if G is the amalgamated product of subgroups in F along its intersections. C. Okay noted that for an arbitrary group G, specializing the simple-connectivity of C(F,G) to the family of abelian subgroups, forces G to be abelian.
In this talk I will discuss a Lie group analogue of C(F,G) with respect to the family of abelian subgroups, arising from the work of Adem, Cohen and Torres-Giese. The main result I will describe is recent work with O. Antolín-Camarena and S. Gritschacher which deals with the analogue of Okay’s result for compact Lie groups.
Date: Monday, November 30, 2020
This is an online seminar. To request the event link, please send a message to firstname.lastname@example.org