From the academic year 2022/23, Zlámal's seminar unites the existing subject seminars. Lectures are are either subject or colloquial in nature and take place mostly in meeting room A1/1938 or in seminar room A1/1842 (unless stated otherwise). Due to greater time flexibility when inviting guests, there is no fixed regular lecture time.
All interested parties are warmly welcome.
Program for the summer semester 2023/24 (will be continuously updated):
Archiv of past seminars
April 26, 12:30 (meeting room A1/1938) COLLOQUIAL LECTURE
Prof. RNDr. Miloslav Feistauer, DrSc.
(Matematicko-fyzikální fakulta Univerzity Karlovy v Praze)
Application of non-continuous Galerkin method for interaction of compressible fluid and elastic structure
April 25. 2023, 11:55 (seminar room A1/1842)
Abstract: Common topologies on the real line include the Euclidean and lower-limit topologies, with basic open sets of form (x,y) and [x, y), respectively. The Hattori topology is a hybrid of these, with some points having Euclidean neighborhoods and the other points having lower-limit neighborhoods. We consider properties of this space, as well as other hybrid topologies, including questions of quasi-metrizability.
April 25. 2023, 12:15 (seminar room A1/1842)
(ÚM VUT Brno)
Topogenous orders and related families of morphisms
Abstract: Departing from a category C with a proper (E,M)-factorization system, we will introduce the notions of strict, co-strict, initial and final morphisms with respect to a topogenous order. Besides showing that they allow simultaneous study of four classes of morphisms obtained separately with respect to closure, interior and neighbourhood operators, the initial and final morphisms lead us to the study of topogenous orders induced by pointed and co-pointed endofunctors. We will also show howto lift the topogenous orders along an M-fibration. This permits one to obtain the lifting of interior and neighbourhood operators along an M-fibration and includes the lifting of closure operators found in the literature.
Wednesday March 29 2023, 12:30 (meeting room A1/1938) COLLOQUIAL LECTURE
Prof. RNDr. Karol Mikula, DrSc.
(Slovenská technická univerzita v Bratislave)
Mathematical models and computational algorithms for 3D and 4D image processing in developmental biology and medicine
Abstract: We present mathematical models and numerical algorithms based on nonlinear advection-diffusion equations used for image filtering, segmentation and tracking in a large-scale 3D+time laser scanning microscopy images leading to automated reconstruction of the cell lineage tree during the first hours of embryogenesis. To achieve that goal, we discretize the nonlinear partial differential equations by the finite volume method, natural to image processing applications, and develop efficient and stable numerical schemes suitable for massively parallel computer architecture.This is a common work with colleagues from Institute of Developmental Biology CNRS and Ecole Polytechnique, Paris, France and University of Bologna, Italy. (The talk will be in Slovak language.)
Tuesday March 28 2023, 12:00 (seminar room A1/1842)
(IM BUT Brno)
Categorical study of quasi-uniform structures compatible with a topology
Abstract: Uniform structures are topological spaces with structure to support definitions such as uniform continuity and uniform convergence. Quasi-uniform structures then generalise this idea in a similar way to how quasi-metrics generalise metrics, that is, by dropping the condition of symmetry. In this talk we will show how to view quasi-uniform structures as constructions on the category of topological spaces, enabling us to generalise the constructions to an arbitrary ambient category. We will show how to relate quasi-uniform structures on a category with closure operators. Closure operators generalise the concept of topological closure operator, which can be viewed as structure on the category of topological spaces obtained by closing subspaces of topological spaces. This method of moving from Top to an arbitrary category is often called "doing topology in categories", and is a powerful tool which permits us to apply topologically motivated ideas to categories of other branches of mathematics, such as groups, rings, or topological groups.
Thursday, December 1, 2022, 3:00 p.m (A1/1938)
Prof. Andras Zempleni
(Eötvös Loránd University, Budapest, HU)
Flood risk models: a case study and a new multivariate approach
Abstract: In the first part of this talk I'll sketch a real-life project on flood risk estimation via several modelling steps, including the fitting of univariate Generalised Pareto Distribution (GPD), Markov chain Monte Carlo method, and several fine tuning steps. The model allowed for simulation potential floods for different scenarios and thus to give an insight into the possible risks related to the property-portfolio of the insurance company. The second part is focused on a potential generalisation of the peaks over threshold method: the multivariate GPD modelling is shown, which allows for the use of all observations that are higher than the threshold in at least one coordinate. I’ll refer to recent works of Rootzen and coauthors which introduced a parametrisation with flexible models and easy simulation.
Tuesday November 8, 2022, 10:00 (A1/1842)
doc. Miroslav Ploščica
(viz též tento link)
(Ústav matematiky PF UPJŠ v Košicích)
Ideal Lattices of Abelian l-groups