Fourier-eigenfunctions and modular forms

Peter Grabner
TU Graz

Date(s) : 15/09/2020
11 h 15 min - 12 h 15 min

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.

CIRM Library room S2 and YouTube live on the CIRM channel


CIRM, Luminy


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