15 may 2015 -- 14:20
Sala Conferenze, Collegio Puteano, Pisa
Abstract.
In this talk I will introduce new pluripotential tools: generalized Monge-Ampère capacities. And I will show that these are the key ingredient when dealing with singular solutions of degenerate Monge-Ampère equations. I will then generalize both Yau's and Kolodziej’s uniform $C^0$-estimates in the non-compact case using such generalized capacities.
This is a joint work with Hoang-Chinh Lu (Chalmers University of Technology).