Averages of SL(2, R) automorphic kernel and arithmetic applications
Lasse Grimmelt
Université d'Oxford
Date(s) : 13/06/2025 iCal
11h00 - 12h00
Counting integer solutions to equation with SL2 symmetry (ad-bc=h in the easiest case) is a surprisingly deep and important problem in analytic number theory. In this talk, which is based on recent work with J. Merikoski, I will present a modern perspective on this. Our modern perspective is based on the spectral theory of automorphic kernel and with it we can count solutions to equations with SL2 symmetry with uniformity and in a more conceptual manner than was possible previously. As an arithmetic application, I will show how this leads to a an improvement when approximating Landau’s famous conjecture that n2+1 should be prime infinitely often.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
Catégories
