Catherine Pfaff (Queen's University)


Burnside Hall 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Train (track)s, loops, & iteration. What does a typical element of Out(F_r) look like?

Abstract: In joint work with Y. Algom-Kfir, D. Gagnier, I. Kapovich, J. Maher, S. J. Taylor, we look from various perspectives at what a typical element of the outer automorphism group of a free group (Out(F_r)) "looks like." This builds on observed connections between how Out(F_r) conjugacy class invariants arise via iterating loops in graphs & how this impacts trajectories of geodesics in Culler-Vogtman Outer space. Having attended Part 1 of this talk will be useful, but there will be plenty of images to gaze out (& likely found beautiful) even if one hadn't attended it.


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