36th Summer Topology Conference

July 18-22, 2022

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

"Entropy and kneading of interval and tree maps"

Wu, Chenxi

This is a joint work with Giulio Tiozzo (U Toronto), Kathryn Lindsey (Boston College) and Ethan Farber (Boston College). We developed kneading theories for certain families of interval maps as well as maps on finite simplicial trees, and used them to study the geometry of the Galois conjugates of the exponents of their topological entropies and established the connection between these Galois conjugates and iterative function systems. As applications these gives necessary conditions for a number to be a core entropy of a superattracting map. I will cover ideas in: H. Bray, D. Davis, K. Lindsey and C. Wu. The shape of Thurston’s Master Teapot, Advances in Mathematics 377, 2021. doi:10.1016/j.aim.2020.107481. arXiv:2112.14590 and an upcoming paper.

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