##### Department of Mathematics,

University of California San Diego

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### Math 211B - Group Actions Seminar

## Carlos Ospina

#### University of Utah

## Some Real Rel trajectories in $\mathcal{H}(1,1)$ that are not recurrent

##### Abstract:

In this talk we will define the Rel foliation for a stratum of translation surfaces with at least two singularities. We will focus on the real Rel flow in the stratum $\mathcal{H}(1,1)$. We will provide some examples of orbits, and their closures. Finally, we will describe the real Rel orbits of tremors of surfaces and provide explicit examples of trajectories that are not recurrent, but do not diverge.

Host: Brandon Seward

### May 30, 2024

### 10:00 AM

APM 7321

Research Areas

Ergodic Theory and Dynamical Systems****************************