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Seminář z diferenciální geometrie - 12.11.2018 PDF Tisk

Seminář z diferenciální geometrie pokračuje 12.11.2018 od 10:00 v učebně M5

Artur Sergyeyev (SU Opava)

Hydrodynamic Integrability: from Symplectic to Contact Geometry

Abstrakt:

We begin with a brief introduction to integrable systems in general and a review of known results on the construction of integrable hydrodynamic-type partial differential systems in three independent variables with Lax pairs involving Hamiltonian vector fields. Then we present a generalization of this construction to the case of four independent variables, where Hamiltonian vector fields are replaced by contact ones, and show that this approach gives rise to a large new class of integrable hydrodynamic-type systems.

Aktualizováno Úterý, 30 Říjen 2018 13:23
 
Innolec lectures - Gian Maria Dall'Ara - An invitation to PDE methods in several complex variables PDF Tisk

Přednášky od 5. 11. do 8. 11. 2018, zasedací mistnost ÚMS (první patro u schodů), od 12:00 do 14:00

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.

Aktualizováno Úterý, 06 Listopad 2018 16:33
 
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