##### Department of Mathematics,

University of California San Diego

****************************

### Joint Seminar between Geometry (Math 258) and Functional Analysis (Math 243)

## Artem Pulemotov

#### University of Queensland

## The Ricci iteration on homogeneous spaces

##### Abstract:

The Ricci iteration is a discrete analogue of the Ricci flow. Introduced in 2007, it has been studied extensively on KÃ¤hler 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 Timothy Buttsworth (Queensland), Yanir Rubinstein (Maryland) and Wolfgang Ziller (Penn).

Hosts: Lei Ni & Todd Kemp

### January 15, 2019

### 10:00 AM

### AP&M 6402

****************************