By “elementary”, I do not mean Euclidean axiomatic high school geometry, nor do I mean that the results that I will discuss are expected or easy to obtain. I use this term to distinguish my topic from differential geometry. I shall present a sampler of recent results that, in most cases, were discovered as a result in computer experiments and were motivated by the theory of completely integrable systems. The topics include the circumcenter of mass of polygons, the locus of centroids of Poncelet polygons, billiards in ellipses and Ivory’s lemma, Poncelet grid, a theorem of Kasner and its generalizations, projective configuration theorems, and a variation on Steiner’s porism. I shall also describe four equivalent properties of completely integrable billiards.
Mittwoch, den 3. Juli 2019 um 11.00-13.00 Uhr Uhr, in Mathematikon, INF 205, SR9 Mittwoch, den 3. Juli 2019 at 11.00-13.00 Uhr, in Mathematikon, INF 205, SR9
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Peter Albers