"Some new geometric ideas in the spectral analysis of Eisenstein series" (Andrei Okounkov, Columbia University)

15.02.2024 16:15

Eisenstein series constitute an important direct summand of the whole space of automorphic functions, whose role may be compared to scattering states for a quantum many-body system. It is a fundamental problem in the theory of automorphic forms to determine the L^2 spectrum of Laplace and Hecke operators, and for the Eisenstein series this problem has been traditionally approached by methods that are very similar to contour integrals of the resolvent. In a joint work with David Kazhdan, we propose an alternative set of methods, the essence and advantages of which will be discussed in this talk.
The Colloquium will by followed by an aperitif.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Colloque de mathématiques

entrée libre

Fichiers joints

Andrei_Okounkov.pdf

531.9 Kb