Innolec lectures - Gian Maria Dall'Ara - An invitation to PDE methods in several complex variables PDF Print

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


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.

Last Updated on Tuesday, 06 November 2018 16:34