Mathematicians from ten countries participated in the four-day professional meeting from Tuesday to Friday at the University of Debrecen (UD). Hungarian and international specialists give presentations on various fields and mathematical-physical applications of Finsler geometry.
The Department of Geometry of the UD Institute of Mathematics and the Mathematics Working Committee of the Debrecen Regional Committee of the Hungarian Academy of Sciences organized the professional program on Finsler geometry and its applications. The Geometry Department was founded in 1942 under the leadership of Ottó Varga. The internationally known and recognized differential geometry school in Debrecen was established more than 80 years ago and is still operating today. Within differential geometry, the theory of Finsler spaces is one of the primary research areas of the department, unique nationally.
One of the classical applications of Finsler geometry is the solution to Zermelo’s navigation problem, but it also appears in the literature in connection with other applications, such as the paradigms describing the spread of forest fires and the theory of seismic vibrations. To understand Zermelo’s navigation problem, imagine that an object (ship, plane, or robot) can move at a constant speed in any direction and consider the distance it travels in a unit of time as a unit. In the absence of any other constraint, points at a unit distance from the starting point form Euclidean circles. The situation is different if external forces act, such as wind, slope, or fluid flow. Thanks to the shifting unit circles, completely different metric conditions will apply, and the problem of determining the shortest path connecting two selected points arises. Specifying a precise mathematical model of the phenomenon leads to the world of Finsler spaces
said to hirek.unideb.hu by Professor Csaba Vincze, director of the Institute of Mathematics of the UD Faculty of Science and Technology.
36 participants from 10 countries (Hungary, USA, Czech Republic, Netherlands, India, Japan, China, Romania, Spain, and Turkey) attended the four-day international conference, where more than 30 presentations were given.
Some of the lectures describe the latest scientific results. In addition, we can hear presentations that raise one problem, encouraging the participants to think together and work together. Finsler geometry was born at the beginning of the last century. It is a relatively young science, where there are still plenty of problems to be solved
Csaba Vincze told hirek.unideb.hu.
On the 100th anniversary of his birth, the conference also commemorates Professor Lajos Tamássy, the former head of the Department of Geometry, who was a worldwide known and recognized authority on differential geometry, including Finsler geometry, and enriched the field with many significant results.
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