Geometry of canonical metrics on Kähler manifolds
 Date
 May 14 at 16:00  18:10, 2021 (JST)
 Speaker

 Dr. Eiji Inoue (Special Postdoctoral Researcher, iTHEMS)
 Venue
 via Zoom
 Language
 English
The aim of this talk is to report recent trends in Kähler geometry. Kähler geometry consists of two aspects: the one is algebraic geometry and the other is metric geometry.The first one hour is an introduction for nonmathematicians.
I begin with a simple example of algebraic variety from ancient Greek, which I believe is the simplest example illustrating motivation for compact complex manifolds.
On the other hand, I explain the first motivation for canonical metrics in Kähler geometry via Riemann’s uniformization theorem.The last one hour is an introduction to recent trends in Kähler geometry, especially KählerEinstein metrics.
The existence of KählerEinstein metrics turns out to be related to geometry of degenerations of space, which is so called YauTianDonaldson conjecture.
I explain various aspects of this topic. We encounter deep studies in metric geometry, birational geometry and nonarchimedean geometry.
I finally explain recent breakthrough on KählerRicci flow.The goal of this talk is the starting point of my study. I briefly explain my study if time permits.
*Please contact Keita Mikami's mail address to get access to the Zoom meeting room.