Ahmed Zeriahi (28/03/2019)

Valentina Giangreco, mars 20, 2019

Málstofa í stærðfræði

Fyrirlesari: Ahmed Zeriahi, Université Toulouse III, Paul Sabatier

Titill: Pluripotential Kähler-Ricci flows

Staðsetning: VR-II 258
Tími: Fimmtudagur 28. mars kl. 11.40


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