# 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

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