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Geometria Diferencial

Ricci iteration
Yanir Rubinstein

University of Maryland
Quinta-feira, 11 de janeiro de 2018, 15:30
Sala 236

The Ricci iteration is a dynamical system that can be regarded as a discrete analogue of the Ricci flow, and appears to be a natural new tool for understanding uniformization. Most work has concentrated on the case of Kahler manifolds (most recently, I will discuss joint work with T. Darvas), although recently there are some limited results in the case of non-Kahler manifolds (joint work with A. Pulemotov). These recent results suggest new phenomena related to ancient Ricci flows. More generally, one can study iterative PDEs inspired by the Ricci flow, and I will describe recent work of R. Hunter in this direction.