This was an invited opening plenary 1.5 hour talk at the international conference Glances @ Manifolds, low-&-high-dimensional, at the Jagiellonian University in Kraków, Poland, in which some of the main research results of the program group were presented.

B.04 Guest lecture

COBISS.SI-ID: 17374553This was an invited talk at the international conference Non-Combinatorial Combinatorics, Mathematics Institute, University of Warwick, Coventry, UK, in which some of the main research results of the program group were presented.

B.04 Guest lecture

COBISS.SI-ID: 17621081The purpose of the workshop/conference was to present to doctoral students and researchers in various fields of mathematics as well as statistics, computer science, astronomy, etc. the tools of algebraic and computational topology that have appeared recently, and possibilities for their applications to data analysis. In addition to a few separate talks, the program consisted of several short courses in the form of three lecture series on the topics of persistence, statistical topology, directed topology and its applications to concurrent computing, topological complexity and discrete Morse theory. Discrete Morse theory has recently proven to be an extremely useful tool in data analysis. The topics covered in the short course by dr. Mramor-Kosta at this conference were: 1.Discrete Morse functions and vector fields 2.Basic algorithms and constructions 3.Applications to images and other data domains.

B.04 Guest lecture

COBISS.SI-ID: 17544793An invited lecture at a prestigious international conference in Dubrovnik, where our research from the past three years concerning coarsely n-to-1 maps was been presented. Coasely n-to-1 maps have been introduced by Miyata and Virk in 2013 with the purpose of developing coarse versions of the dimension raising theorems and n-to-1 mapping theorems, the latter classifying the asymptotic dimension in terms of such maps. Motivated by these results, Dydak and Virk published two papers on the subject. One of them presented the induced maps on the Gromov boundaries and their connection to coarsely n-to-1 maps. The other one analyzed coarse properties preserved by such maps. The concluding part was devoted to an ongoing work on the subject by Austin and Virk.

B.04 Guest lecture

COBISS.SI-ID: 17340505This talk in the scientific seminar of the Department of Mathematics of the University of Toulouse deals with the presentation of some original contributions to the study of nonlinear problems with one or more variable exponents. A key role in the structure of this talk is played by the results contained in the recent monograph RǍDULESCU, Vicenţiu, REPOVŠ, Dušan. Partial differential equations with variable exponents : variational methods and qualitative analysis, (Monographs and research notes in mathematics). Boca Raton; London; New York: CRC Press, cop. 2015. XXI, 301 str., ilustr. ISBN 1-4987-0341-0. ISBN 978-1-4987-0341-3. http://www.crcnetbase.com/isbn/9781498703444. [COBISS.SI-ID 17325401

B.05 Guest lecturer at an institute/university

COBISS.SI-ID: 17470809