The Ricci iteration on homogeneous spaces

Artem Pulemotov (Queensland)

Abstract

The Ricci iteration is a discrete analogue of the Ricci flow. Introduced in 2007, it has been studied extensively on Kähler manifolds, providing a new approach to uniformisation. In the talk, we will define the Ricci iteration on compact homogeneous spaces and discuss a number of existence, convergence and relative compactness results. This is largely based on joint work with Yanir Rubinstein (The University of Maryland).