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Geometric Group Theory Seminar- : Daniel Studenmund

Geometric Group Theory Seminar
October 29, 2019
3:00 pm - 4:00 pm
Cockins Hall 240

Title: Algebra and Geometry of Finite-Index Subgroups

Speaker: Daniel Studenmund - University of Notre Dame

Abstract: Given an infinite, discrete group G, we will discuss algebraic and geometric structures on the collection C(G) of its finite-index subgroups. The abstract commensurator of G, Comm(G), is an algebraic structure associated to C(G) that can detect surprising data about G. We will discuss some known results and pose questions about Comm(F_2). We then define a metric space structure on C(G) and discuss results in subgroup growth, and use this to motivate the more general notion of commensurability growth. This talk includes discussion of work with Khalid Bou-Rabee, Tasho Kaletha, and Rachel Skipper.

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