# Dynamical systems workgroup

On the Equidistribution of the family of correspondences \(\lbrace \mathcal{F}_a\rbrace_{a}\)

Vanessa Matus de la Parra

Friday, November 22nd, 2019

4:30 PM - 5:30 PM

Hylan 201

4:30 PM - 5:30 PM

Hylan 201

Abstract: We will state the general settings of holomorphic correspondences and what is known about their equidistribution properties in different cases. We will explain why the family \(\mathcal{F}_a\) of holomorphic correspondences given by

\[\left(\frac{aw-1}{w-1}\right)^2+\left(\frac{aw-1}{w-1}\right)\left(\frac{az+1}{z+1}\right)+\left(\frac{az+1}{z+1}\right)^2=3\]is interesting, as well as check that it does not fit in any of the cases above. Finally, we will see its equidistribution properties.

Event contact: vmatusde at ur dot rochester dot edu

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