Fourier-Eigenfunctions and Modular Forms (Morlet Chair – Robert Tichy)

Eigenfunctions of the Fourier-transform play a major role in Viazovska’s proof of the best packing of the E_8 lattice in dimension 8 and the subsequent determination of the Leech lattice as best packing configuration dimension 24 by Cohn, Kumar, Miller, Radchenko, and Viazovska. In joint work with A. Feigenbaum and D. Hardin we have shown that the constructions as used for these results are unique; we could shed more light on the underlying modular and quasimodular forms and determine linear recurrence relations and differential equations characterising these forms.

A special talk on the above research area will take place on Tuesday 15 September at 11:15.
Live transmission available by clicking on the red square.

• Peter Grabner (TU Graz)
• ​Robert Tichy (TU Graz / Aix-Marseille Université)