News archive


Record from public habilitation talk: Mgr. Lenka Zalabová, Ph.D. PDF Print

Wednesday, March 11, 2020, at 16.00 in M1

Recordings: slides
and camera

Symmetric spaces and their filtered generalizations

Abstract: We focus on the role of symmetries in geometry and geometric control theory. We introduce symmetric spaces as important examples of geometries with many symmetries and we study consequences of existence of special symmetries. Finally we study various generalizations of symmetric spaces.

Last Updated on Friday, 13 March 2020 13:44
 
Public habilitation talk: RNDr. Dana Černá, Ph.D. PDF Print

Tuesday, March 10, 2020, at 14:00 in M5

Wavelet methods for operator equations

Wavelet methods are a useful tool for the numerical solution of various types of operator equations. We introduce the concept of a wavelet basis and two examples of spline wavelet bases.Then we study the wavelet-Galerkin method, namely the existence and uniqueness of the numerical solution and the convergence rate of the method. Furthermore, we also focus on the properties of the resulting systems of linear algebraic equations, especially on their structures and the condition numbers of the discretization matrices. Numerical experiments are provided for integral and integro-differential equations, and as practical application, the jump-diffusion option pricing model is solved.

Last Updated on Wednesday, 04 March 2020 11:31
 
Jaromír Šimša will receive the Paul Erdös Award PDF Print

 

Jaromír Šimša will receive

the Paul Erdös Award of the World Federation of National Mathematics Competitions for 2020; this award is biannually delivered to at most three mathematicians all over the world.

The Paul Erdös Award was established to recognise contributions of mathematicians who have played a significant role in the development of mathematical challenges at the national or international level and which have been a stimulus for the enrichment of mathematics learning.

We warmly congratulate Jaromír Šimša on this outstanding achievement!

Last Updated on Monday, 02 March 2020 14:46
 
MUNI Seminar series - Hans Munthe-Kaas - Symmetry - Canceled PDF Print

Canceled

Unfortunately, the speaker Hans Zanna Munthe-Kaas got into the quarantine because of the new coronavirus in recent days and he had to cancel his trip to Brno.

We shall find a new timeslot in the future, but the lecture will not take place this Wednesday.

March 4, 2020 from 4:30 PM at Mendel Museum´s Augustinian Abbey Refectory at Mendel Square

Hans Munthe-Kaas

Symmetry: From Conway’s Magic Theorem to Archimedes’ Labyrinth and Beyond

Abstract:
Symmetry is a topic which has inspired artists and mathematicians from ancient to modern times. A fundamental problem is the classification of discrete groups of isometries, such as the 17 planar wallpaper groups, which have been used in mosaics since medieval ages and were classified by Fedorov in 1891 in a complicated proof.

Conway’s Magic Formula can be used to classify discrete symmetries for spherical, plane and hyperbolic surfaces and yields the 17 wallpaper groups, the 7 frieze patterns and all discrete spherical symmetries as special cases. The formula and its proof is so simple that it is accessible to advanced high school students.

Recently, Munthe-Kaas was involved in the design of a mathematical maze in Bergen Botanical garden. Inspired by Conway, he ended up with a highly symmetric design. Under some reasonable assumptions, only one of the 17 wallpaper groups fulfils his original design criteria. The labyrinth, called Archimedes’ labyrint consists of 1234 yews (Taxus baccata, Tis červený) in 2m height and covers an area of about 800 m^2. It was presented in Science Magazine, October 2018.

In the last part of this talk we move beyond Conway, and discuss the problem of multivariate polynomial interpolation. Based on kaleidoscopic symmetry groups (Coxeter groups), we find interpolation points with remarkable properties. We show that for any d and k, there exists a unisolvent set of interpolation points for d-variate polynomial interpolation of order k. These points have optimal Lebesque constants and allow fast computation by symmetric fast Fourier transforms.

Last Updated on Monday, 02 March 2020 10:05
 
Differential equations seminar - Febraury 24, 12pm, lecture room M5 PDF Print

Seminar of differential equations will continue on February 24, 2020 at 12pm in lecture room M5.

Kodai Fujimoto, Ph.D. (Ústav matematiky a statistiky, PřF MU)

Asymptotic behavior of solutions for differential equations with φ-Laplacian

Last Updated on Monday, 02 March 2020 10:10
 
«StartPrev21222324252627282930NextEnd»

Page 23 of 50