(Fuglede's tiling-spectrality conjecture. (ERC project
Seminar
Speaker
Nir Lev, Dept. of Mathematics, Bar-Ilan University
Date
06/11/2016 - 15:30 - 14:00Add to Calendar
2016-11-06 14:00:00
2016-11-06 15:30:00
(Fuglede's tiling-spectrality conjecture. (ERC project
We know by classical Fourier analysis that the unit cube in R^d has an orthogonal basis consisting of exponential functions. Which other domains admit such a basis? Fuglede conjectured (1974) that these so-called "spectral domains" could be characterized geometrically by their possibility to tile the space by translations. I will survey the subject and then discuss some recent results, joint with Rachel Greenfeld, where we focus on the conjecture for convex polytopes.
(Colloquium room (building 216
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
(Colloquium room (building 216
Abstract
We know by classical Fourier analysis that the unit cube in R^d has an orthogonal basis consisting of exponential functions. Which other domains admit such a basis? Fuglede conjectured (1974) that these so-called "spectral domains" could be characterized geometrically by their possibility to tile the space by translations. I will survey the subject and then discuss some recent results, joint with Rachel Greenfeld, where we focus on the conjecture for convex polytopes.
Last Updated Date : 02/11/2016
