MUNI Seminar series - Hans Munthe-Kaas - Symmetry - Canceled |

We shall find a new timeslot in the future, but the lecture will not take place this Wednesday.
Abstract: Conway’s Magic Formula can be used to classify discrete symmetries for spherical, plane and hyperbolic surfaces and yields the 17 wallpaper groups, the 7 frieze patterns and all discrete spherical symmetries as special cases. The formula and its proof is so simple that it is accessible to advanced high school students. Recently, Munthe-Kaas was involved in the design of a mathematical maze in Bergen Botanical garden. Inspired by Conway, he ended up with a highly symmetric design. Under some reasonable assumptions, only one of the 17 wallpaper groups fulfils his original design criteria. The labyrinth, called In the last part of this talk we move beyond Conway, and discuss the problem of multivariate polynomial interpolation. Based on kaleidoscopic symmetry groups (Coxeter groups), we find interpolation points with remarkable properties. We show that for any d and k, there exists a unisolvent set of interpolation points for d-variate polynomial interpolation of order k. These points have optimal Lebesque constants and allow fast computation by symmetric fast Fourier transforms. |

Last Updated on Monday, 02 March 2020 10:05 |