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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211B - Group Actions Seminar
Josh Southerland
University of Washington
Towards a shrinking target property for primitive square-tiled surfaces
Abstract:
In this talk, I will discuss ongoing work to develop a method for proving a shrinking target property on primitive square-tiled surfaces that comes from the action of a subgroup $G$ of its Veech group. Our main tool is the construction of a Fourier-like transform which we can use to relate the $L^2$-norm of the Koopman operator induced by $G$ to the $L^2$-norm of a Markov operator related to a random walk on $G$.
Host: Brandon Seward
December 2, 2021
11:00 AM
Zoom ID 967 4109 3409 (email an organizer for the password)
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