講演会

過去の記録 ~03/27次回の予定今後の予定 03/28~


2012年11月28日(水)

10:45-11:45   数理科学研究科棟(駒場) 002号室
本講演会はGCOEの活動の一環として行われます.
Pascal Chossat 氏 (CNRS / University of Nice)
Pattern formation in the hyperbolic plane (ENGLISH)
[ 講演概要 ]
Initially motivated by a model for the visual perception of textures by the cortex, the problem of pattern formation in the hyperbolic plane, or equivalently the Poincaré disc D, shows some similar but mostly quite different features from the same problem posed on the Euclidean plane. The hyperbolic structure induces a large variety of possible periodic patterns and even the bifurcation of "hyperbolic" traveling waves. We call these patterns "H-planforms". I shall show how H-planforms are determined by the means of equivariant bifurcation theory and Helgason-Fourier analysis in D. However the question of their observability is still open. The talk will be illustrated with pictures of H-planforms that have been computed using non trivial algorithms based on harmonic analysis in D.