# '22

36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

### "Fibered cones and sphere complex translation lengths"

#### Wu, Chenxi

This is a collaboration with Harry Baik and Dongyurl Kim. We studied the upper bound of translation lengths on sphere complexes induced by self maps on closed manifolds and use them to study $Out(F_n)$ actions on free factor and free splitting complexes as well as handlebody groups. I will cover materials in arXiv:2107.09018 as well as further results in an upcoming paper.

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