### Folding-like techniques for CAT(0) cube complexes

Geometry and Topology Seminar

12th December 2023, 2:00 pm – 3:00 pm

Fry Building, 2.04

In a seminal paper, Stallings introduced folding of morphisms of graphs. Stallings's methods give effective, algorithmic answers and proofs to classical questions about subgroups of free groups. Recently Dani--Levcovitz used Stallings-like methods to study subgroups of right-angled Coxeter groups, which act geometrically on CAT(0) cube complexes. We extend their techniques to fundamental groups of non-positively curved cube complexes. This is joint work with Rylee Lyman and Michael Ben-Zvi.

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