Starting from scratch, I will define the Monge-Ampere operator and its relation to several fields of mathematics, such as complex analysis, potential theory and complex geometry. Then I shall focus on specific properties of solutions to the Monge-Ampere equation, with an emphasis on estimates and regularity issues. Time permitting I will also discuss the main open problems in the field.

P.N. Here is the link for the webpage of our speaker:
https://apacz.matinf.uj.edu.pl/users/269-slawomir-dinew

Location: https://meet.google.com/you-qymk-ybu