Innolec lectures from **5.11.18 - 8.11.18**
The first lecture will take place on **Monday, 12:00-14:00, in the Seminar room on the 1st floor.**
#### Gian Maria Dall'Ara (University of Vienna)
**An invitation to PDE methods in several complex variables**
Abstract:
In these lectures I will present the point of view on complex analysis in several variables originated in the '60s from the seminal work of Hörmander and Kohn (among others) on the d-bar problem and some of the most interesting applications. A tentative list of the topics I will discuss is:
1) one versus several complex variables: domains of holomorphy and failure of Riemann mapping theorem;
2) the problem of smooth extension to the boundary of biholomorphisms (Fefferman and Bell-Ligocka theorems);
3) existence and compactness in the d-bar problem: a review of some ideas of Hörmander, Kohn and Catlin;
4) Kohn-Nirenberg regularity and recent work on necessary and sufficient conditions for compactness.
The lectures will be suited (and hopefully interesting) for master students and researchers alike. |