Archiv kolokvií
Kolokvium - 25.9.2018 od 16:00 v M1 PDF Tisk

Kolokviální přednáška proběhne 25.9.2018 od 16:00 v posluchárně M1.

John P. D'Angelo  (Professor at University of Illinois, PhD from Princeton, 1976)

Title: Rational CR maps between spheres: a compressed sensing problem.

I will discuss aspects of the theory of proper holomorphic mappings between balls and connections with other branches of mathematics. Such mappings arise for several reasons; one is that the unit sphere admits many symmetries, and many mappings exist, especially when the target dimension is large compared with the domain dimension. When the source dimension is at least two, and a proper map is smooth up to sphere, it must be a rational mapping. Classification of such rational mappings is difficult; this problem  leads to group theory, algebraic combinatorics, compact operator theory, and so on. The primary focus of the talk will be on the degree estimate problem in two or more dimensions; the idea is to bound the degree of such a rational mapping in terms of an explicit function of the source and target dimensions. Equivalently, one could seek a lower bound for the target dimension given the degree. Doing so leads to a problem in compressed sensing. The sharp bounds are known only in the case of monomial maps. I will discuss joint work I have done on this problem with two Czech co-authors. The talk will be accessible to advanced undergrads, because I will spend most of the time in source dimension two.

Aktualizováno Pátek, 21 Září 2018 15:17
Záznam kolokviální přednášky - Stano Katina - What is important for the future of (applied) Czech science: Complex examples from biostatistics and data science PDF Tisk

Kolokviální přednáška se konala ve středu 9. května 2018 od 16:00 v posluchárně M1.

Stano Katina

What is important for the future of (applied) Czech science: Complex examples from biostatistics and data science


What is statistics? What is data analysis? Is it good to question what a statistic is telling you? Are statistics an aid for your intelligence and judgement, or a replacement for them? What is bias? What has been measured? Is it important for applied scientist to learn basic statistical concepts? Is the statistics mirroring the process of building a house or is it reflecting only its decoration? What is a difference between statistician of 20th and 21st century? What is a difference between applied scientist of 20th and 21st century?

During the colloquium we will ask many of these sort of questions and learn some basic concepts of statistics of 19th, 20th and 21st century. We will learn that even though data never lies, it is far too easy to be tricked by it, and even though we just said that data never lies, the way it is generated and collected can create deceptive conclusions. We also find out that the benefit of studying statistics is in gaining a skill set that is transferable to other research methods, disciplines and walks of life.

Some of the concepts will be applied on data from different medical fields, e.g. knee replacement surgery, electroencephalography, electrocardiography, magnetic resonance imaging, and facial modelling.

Záznam přednášky ZDE.

Aktualizováno Čtvrtek, 10 Květen 2018 14:33