Event № 935
You are invited to a:
Distinguished Lecture Series by
Prof. Sergei Tabachnikov
(Pennsylvania State University)
Title: Frieze patterns. Cross-ratio dynamics on ideal polygons.
In the first lecture I shall describe basic properties of frieze patterns. These are are beautiful combinatorial objects, introduced by Coxeter in the early 1970s. He was about 30 years ahead of time: only in this century, frieze patterns have become a popular object of study, in particular, due to their relation with the emerging theory of cluster algebras and to the theory of completely integrable systems. I shall prove the theorem of Conway and Coxeter that relates arithmetical frieze patterns with triangulations of polygons. There is an intimate, and somewhat unexpected, relation between three objects: frieze patterns, 2nd order linear difference equations, and polygons in the projective line (or ideal polygons in the hyperbolic plane).
1st lecture: Monday, January 6, 2020 at 15:30
2nd lecture: Wednesday, January 8, 2020 at 15:30
3rd lecture: Thursday, January 9, 2020 at 15:30
All lectures will be in Amado 232.
Light refreshments will be given in the faculty lounge on the 8th floor.