[:is]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
Ágrip:
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[:en]
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 [:]