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Seminar - November 13, 1:45pm, lecture room M5 PDF Print

Seminar of applied mathematics, November 13, 2018, at 1:45pm, in the lecture room M5.

Prof. RNDr. Vlastimil Křivan, CSc.

Evolutionary games with time constraints

Last Updated on Friday, 09 November 2018 15:30
 
19th mathematical hike - November 24th 2018 PDF Print

You are cordially invited to our 19th mathematical hike that will take place on November 24th.

Start at 08:54 in front of the train station in Břeclav. You can join us in Brno taking train EC (departure at 08:23).

We have planned a 20 km hike starting in Břeclav going south visiting palaces Pohansko and Lány in a riparian forest near the borders of three countries.

We look forward to seeing you.

Jana Bartoňová and Jonatan Kolegar, organizers

Jan Slovák, Director of the Department of Mathematics and Statistics

Last Updated on Friday, 09 November 2018 15:21
 
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

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.

Last Updated on Tuesday, 06 November 2018 16:34
 
Seminar - November 5, 10am, lecture room M5 PDF Print

The seminar on differential geometry will continue by the following lecture:

November 5 (10.00, M5)

Radoslaw Kycia:

Integrability of geodesics of totally geodesic metrics

Abstract:

Analysis of the geodesics in the space of signature (1,3) that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones will be presented. Similar model of General Theory of Relativity coupled to Electromagnetism will be explained. Analysis of geodesic integrability will be outlined. This will be the brief overview of the manuscript [1].

Bibliography: [1] R. A. Kycia, M. Ułan, Integrability of geodesics of totally geodesic metrics, https://arxiv.org/abs/1810.00962

 
Seminar - November 12, 10am, lecture room M5 PDF Print

The seminar on differential geometry will continue by the following lecture:

November 12 (10.00, M5)

Artur Sergyeyev (SU Opava)

Hydrodynamic Integrability: from Symplectic to Contact Geometry

Abstract:

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.

Last Updated on Tuesday, 30 October 2018 13:14
 
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