## Séverine Biard (10/10/16)

Anders Claesson, October 5, 2016

Math Colloquium

### Title: On pseudoconvex domains and some of their applications

Location: V-158, VRII
Time: Monday 10 October at 15:00

### Abstract:

One of the most commonly studied object in several complex variables is pseudoconvex domains, which I will introduce. Domains of holomorphy in $$\mathbb{C}^n$$, they are studied in more general complex manifolds thanks to a powerful notion: plurisubharmonicity. Those domains are the support of the famous inhomogeneous Cauchy-Riemann equation or also called $$\bar\partial$$-equation. Combined with the existence of a bounded plurisubharmonic function, I will also talk about some applications to complex geometry and complex dynamics.