##### 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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