LFU:online

By studying classical and recent literature, the students will gain a solid understanding of important aspects of the theory of strongly continuous operator semigroups and the application to linear and non-linear evolution problems

This research seminar offers the opportunity to present one's own research results, or explore and present a current topic of functional analysis.

This semester we will concentrate on elegant  matematical arguments, mainly in geometry, combinatorics, and algorithms. For example: Every bounded subset A of the plane can be split into 3 pieces of diameter strictly smaller than that of A. On the contrary, if  the dimension d is large enough, then there is a bounded subset of a d-dimesnional Euclidian space can NOT be partitioned into d+1 sets of smaller diameter.

Only a modest background in analysis, linear algerbra and graph theory will be assumed. We will study selected chapters of  the books "Proofs from the Book" by Aigner and Ziegler and  "Thirty-three Miniatures" by  Jiri Matousek. Both books are available electronically in the university library.  

Presentations by participants based on classical and recent literature.

Active participation and evaluation of the presentation.

"Proofs from the Book" by Aigner and Ziegler 

"Thirty-three Miniatures" by  Jiri Matousek.

(pdf of both books is available in our library)

Functional analysis, Basic course on Partial Differential Equations