October 29, 2019
3:00PM - 4:00PM
Cockins Hall 240
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2019-10-29 15:00:00
2019-10-29 16:00:00
Geometric Group Theory Seminar- : Daniel Studenmund
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.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-10-29 15:00:00
2019-10-29 16:00:00
Geometric Group Theory Seminar- : Daniel Studenmund
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.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
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.
