Lundi 6 mars 10:00-11:00 -
Alexander Logunov - Saint Petersburg et Tel Aviv
Zero set of a non-constant harmonic function in R^3 has infinite area
Résumé : Nadirashvili conjectured that for any non-constant harmonic function in R^3 its zero set has infinite surface area. This question was motivated by the Yau conjecture on zero sets of Laplace eigenfunctions. We will give a sketch of the proof of Nadirashvili’s conjecture.