BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Lattice point congurations and arithmetic
DTSTART:20190611T153000
DTEND:20190611T163000
DTSTAMP:20260503T204641Z
UID:34c1ca512e981e374aebf01366ad5cf8526b087e434da1956427f6de
CATEGORIES:Conferences - Seminars
DESCRIPTION:Riccardo Maffucci (University of Oxford)\nThis talk is based o
 n collaborations with Dmitry Beliaev\, Jacques Benatar\, and Maurizia Ross
 i. The nodal (zero) sets of Laplace eigenfunctions remain stationary durin
 g membrane vibrations. Their study dates back to the 17th Century. These e
 igenfunctions\, called `arithmetic waves'\, have several physical applicat
 ions e.g. telecommunications\, the study of ocean waves\, sound and music.
  In this talk\, we will discuss the surprising connections with analytic n
 umber theory and discrete geometry. These include the distribution and cor
 relations of lattice points on circles and spheres\, and their Riesz s-ene
 rgy. Moreover\, we will see how the spectral measure of the arithmetic wav
 e allows us to detect the limiting distribution of the lattice points.
LOCATION:GR A3 32 https://plan.epfl.ch/?room==GR%20A3%2032
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR