##### Department of Mathematics,

University of California San Diego

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### Math 211B - Group Actions Seminar

## Anthony Sanchez

#### UCSD

## Effective equidistribution of large dimensional measures on affine invariant submanifolds

##### Abstract:

The unstable foliation, that changes the horizontal components of period coordinates, plays an important role in the study of translation surfaces, including their deformation theory, and in the understanding of horocycle invariant measures.

In this talk, we show that measures of large dimension equidistribute in affine invariant manifolds and give an effective rate. An analogous result in the setting of homogeneous dynamics is crucially used in the effective equidistribution results of Lindenstrauss-Mohammadi and Lindenstrauss--Mohammadi--

### June 8, 2023

### 10:00 AM

APM 7218 and Zoom ID 96741093409, password 'dynamics'

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