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Seminar

RAS - Postdoc Seminar: Folding-like Techniques for CAT(0) Cube Complexes December 17, 2020 (09:00 AM PST - 10:30 AM PST)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Rylee Lyman (Rutgers University)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Folding-like Techniques for CAT(0) Cube Complexes

Abstract/Media

To attend this seminar, please register here: https://www.msri.org/seminars/25205

Abstract: In a seminal paper, Stallings introduced folding of morphisms of graphs, giving effective, algorithmic answers and proofs to classical questions about subgroups of free groups. Recently Dani and Levcovitz used Stallings-like methods to study right-angled Coxeter groups, which act geometrically on CAT(0) cube complexes. With Michael Ben-Zvi and Robert Kropholler, I extend their techniques to fundamental groups of non-positively curved cube complexes. In this talk I will recall Stallings's folds, describe how to extend them to non-positively curved cube complexes and discuss some applications.

 

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Folding-like Techniques for CAT(0) Cube Complexes