Eigenfunctions and random waves on locally symmetric spaces in the Benjamini-Schramm limit

by Prof. Nicolas Bergeron (IMJ-PRG, Sorbonne Université)

Monday Oct 8, 2018, 4:30 PM → 5:45 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

I will consider the asymptotic behavior of eigenfunctions of the Laplacian on a compact locally symmetric manifold M "in the level aspect", that is as the volume of M tends to infinity. I will formulate a precise conjecture of "Berry type", and describe partial results obtained in a joint work with Miklos Abert and Étienne Le Masson.