Folding-like Techniques for CAT(0) Cube Complexes
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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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