As one of the fundamental problems in complex dynamics, the equi-distribution of periodic points is expected to impose rather strong ergodic properties on the dynamical system. In the past decade, Dinh, Nguyễn and Truong proved that, given a meromorphic self-map of a compact Kähler manifold with a dominant topological degree (i.e., the last dynamical degree is strictly larger than the other ones), the set of isolated periodic points is asymptotically equi-distributed with respect to the equilibrium measure. In this talk, after a review on the background, we extend the previous results to the (possibly singular) Fujiki variety. As a by-product, we give an affirmative answer to a conjecture of Shou-Wu Zhang. This is based on a joint work with Tien-Cuong Dinh. Time: 10:00-11:00 Place: 28-103 2024 Seoul Workshop on Complex Geometry and Analysis https://sites.google.com/view/2024cg/