CMSA Algebraic Geometry in String Theory: Kähler–Einstein metrics on families of Fano varieties
SEMINARS, CMSA EVENTS
Speaker:
Chung-Ming Pan - Institut de Mathématiques de Toulouse
This talk aims to introduce a pluripotential approach to study uniform a priori estimates of Kähler--Einstein (KE) metrics on families of Fano varieties. I will first recall basic tools in the pluripotential theory and the variational approach to complex Monge-Ampère equations. I will then define a notion of convergence of quasi-plurisubharmonic functions in families of normal varieties and extend several classical properties under this context. Last, I will explain how these elements help to obtain a purely analytic proof of the openness of existing singular KE metrics and a uniform $L^\infty$ estimate of KE potentials.
This is joint work with Antonio Trusiani.
**Note special time & location: 10 - 11 AM ET in Room G02**
https://cmsa.fas.harvard.edu/event/algebraic-geometry-in-string-theory/