Univerza na Primorskem
Fakulteta za matematiko, naravoslovje in informacijske tehnologije
Več informacij o projektu / More info about the project
Opis / Description
SLO:
|
Madžarska raziskovalna skupina se večinoma nahaja na ELTE in MTA-ELTE raziskovalni skupini za geometrijsko in algebraično kombinatoriko, Slovenska raziskovalna skupina pa se večinoma nahaja na Univerzi na Primorskem. Sodelovanje med slovensko in madžarsko raziskovalno skupino se je začelo konec devetdesetih let. Od takrat je bilo več obiskov v obeh smereh v okviru slovensko-madžarskih medvladnih znanstvenih in tehnoloških projektov. Poudarek je bil vedno na algebraičnih metodah, ki se uporabljajo pri teoriji grafov in (končni) geometriji. Od leta 2015 sodelujemo na podobnih raziskovalnih temah v okviru OTKA-ARRS projekta. To sodelovanje je privedlo do več skupnih publikacij. Imeli smo plodne diskusije tudi o številnih drugih raziskovalnih problemih. Sedanji predlog je naravno nadaljevanje našega skupnega dela. Dve raziskovalni skupini sodelujeta tudi pri poučevanju: Univerza na Primorskem in Eotvos Lorand Univerza imata aktiven Erasmus sporazum. Poleg osmih madžarskih in devetih slovenskih kolegov, načrtujemo tudi tesno sodelovanje z Gaborjem Korchmarosem (Potenza, Italija), ki ima globoko znanje iz teorije grup in geometrije ter o njihovi uporabi v teoriji grafov. Še posebej, napisal je več člankov o grupah avtomobilizmov grafov in geometrij. V tem projektu želimo nadaljevati in okrepiti naše sodelovanje pri uporabi algebraičnih, geometrijskih in kombinatoričnih metod za probleme o grafih, grupah, konfiguracijah in geometrijah. V nekaterih primerih so aktualne raziskovalne teme izhajale iz našega dela v prejšnjem OTKA-ARRS projektu. Splošne teme in cilji se niso spremenili, želeli bi delati na problemih, ki razkrivajo povezave med geometrijo, grafi in grupami. V nekem smislu je to tudi cilj slovenskih revij Ars Mathematica Contemporanea in Art of Discrete and Applied Mathematics. Seveda so konkretni problemi v tej prijavi različni. Ta projekt bomo uporabili za podporo pri izmenjavi doktorskih študentov, in sicer, načrtujemo organizacijo delavnic za širjenje rezultatov, ki jih bomo pridobili v okvirju tega projekta. |
ANG
|
The Hungarian research group is mostly located at ELTE and the MTA-ELTE Geometric and Algebraic Combinatorics Research Group and the Slovenian research group is mostly located at University of Primorska. The cooperation of this research group with our Slovenian colleagues has started in the end of 1990s. Since then several visits have taken place in both directions in the framework of Slovenian-Hungarian Intergovernmental Scientific and Technological Projects. The focus was always on algebraic methods applied to graph theory and (finite) geometry. Since 2015 we have been cooperating on similar topics in the framework of an OTKA-ARRS project. This collaboration led to several joint papers and we had fruitful discussions about many other papers. The present proposal is natural continuation of our joint work. We also have a cooperation in teaching: University of Primorska and Eötvös Loránd University have an active Erasmus agreement. Besides the eight Hungarian and nine Slovenian colleagues, we also plan to work closely with Gábor Korchmáros (Potenza, Italy), who has a deep knowledge in group theory and geometry, and their application to graph theory. In particular, he wrote several papers on automorhism groups of graphs and geometries. In the present project we would like to continue and strengthen our cooperation in the use of algebraic, geometric, and combinatorial techniques for problems about graphs, groups, configurations and geometries. In some cases the current topics grew out of our work in the previous OTKA-ARRS project. From a distance, the topics and the aims did not change, we would like to attack problems which reveal connections between geometris, graphs and groups. In a sense, this is also the aim of the Slovenian journals Ars Math. Contemporanea and Art of Discrete and Applied Maths. Of course, the concrete problems are different. We plan to use this project to support exchange of Ph.D. students, in particular, we plan to organize workshops to spread the results obtained in the project. |