Slawomir Dinew

Institution:

Jagiellonian University

Time:

Tuesday, January 12, 2021 - 3:00pm to 4:00pm

Location:

Zoom

Joint with Differential Geometry seminar.

Pluripotential solutions to the complex Monge-Ampere equations are very useful  in modern complex geometry. It is thus very natural to seek analogues for other Hessian type complex equations that appear in geometric analysis. In the talk I will discuss several approaches towards such a theory and their limitations. Then I will focus on a newly coined notion of a $L^p$-viscosity solutions and discuss uniform estimates for a large class of Hessian equations. This is a joint work with S. Abja and G. Olive.