ABSTRACT

The Yau-Tian-Donaldson conjecture aims to give a sufficient and necessary algebro-geometric condition for the existence of constant scalar curvature Kahler (cscK) metrics on polarized projective manifolds. I will discuss some recent progress towards this conjecture. In particular, I will explain my recent result that says the condition of uniform K-stability for models is sufficient (and conjecturally also necessary) for the existence of cscK. The proof uses various tools in pluripotential theory and non-Archimedean Kahler geometry. 

BRIEF BIO

Dr. Chi Li is an associate professor at Purdue University. His main research interest is complex geometry. He obtained both the Bachelor (2004) and Master degree (2007) from Peking University. He obtained Ph.D. from Princeton University in 2012 under the supervision of Professor Gang Tian. He was Simons Instructor at Stony Brook University between 2012-2015 before joining Purdue University. His work was recognized by Sloan Research fellowship. 

ZOOM INFO:

ID: 642-5423-6152

PIN: 089979

SLIDES

You may find the slides of this talk here.