Ruprecht-Karls-Universität Heidelberg
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„Cross-ratio dynamics on ideal polygons“
Prof. Sergei Tabachnikov, PennState, USA

Define a relation between labeled ideal polygons in the hyperbolic space by requiring that the complex distances (a combination of the distance and the angle) between their respective sides equal c; the complex number c is a parameter of the relation. This defines a 1-parameter family of maps on the moduli space of ideal polygons in the hyperbolic space (or, in its real version, in the hyperbolic plane). I shall discuss complete integrability of this family of maps and related topics. This is work in progress, joint with M. Arnold, D. Fuchs, and I. Izmestiev.

Montag, den 9. Juli 2018 um 10:00-11:00 Uhr, in Mathematikon, INF 205, Konferenzraum, 5. Stock Montag, den 9. Juli 2018 at 10:00-11:00, in Mathematikon, INF 205, Konferenzraum, 5. Stock

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers