SMS scnews item created by Haotian Wu at Fri 20 Apr 2018 1527
Expiry: 20 Jul 2018
Calendar1: 26 Apr 2018 1200-1300
CalLoc1: Carslaw 351
CalTitle1: Geometry & Topology Seminar: Wan -- The quaternionic Monge-Ampere equation and methods of pluripotential theory
Geometry & Topology Seminar
The quaternionic Monge-Ampere equation and methods of pluripotential theory
Dongrui Wan (Shenzhen University)
Thursday 26 April 12:00–13:00 in Carslaw 351.
Please join us for lunch after the talk.
In this talk, we will discuss some potential results for the quaternionic Monge-Ampère equations. We generalize the pluripotential theory for the complex Monge-Ampère operator to that for the quaternionic Monge-Ampère operator, and develop the theory of quaternionic closed positive currents on quaternionic space. By using these results, we study the continuity and stability of quaternionic Monge-Ampère equations. Moreover, we will discuss several results about the Dirichlet problem of quaternionic Monge-Ampère equations.