Ahmed Zeriahi (28/03/2019)

Valentina Giangreco, March 20, 2019

Math Colloquium

Speaker: Ahmed Zeriahi, Université Toulouse III, Paul Sabatier

Title: Pluripotential Kähler-Ricci flows

Location: VR-II 258
Time: Thursday March 28 at 11.40 am

Abstract:

We will first give an introduction to the Kähler-Ricci flow
on Kähler compact manifolds.
Next, we will review a recent joint work with Chinh H. Lu and Vincent
Guedj on a weak version of this theory
motivated by the study of the Kähler-Ricci flow on complex projective
varieties with mild singularities.
This study requires the development of a Parabolic Pluripotential Theory
on compact Kähler manifolds.
It bowls down to define and study weak solutions for some parabolic
complex Monge-Ampère equations,
extending the celebrated Bedford-Taylor theory in the degenerate
elliptic case.
arXiv:1810.02121 https://arxiv.org/abs/1810.02121