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UID:5412@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250613T110000
DTEND;TZID=Europe/Paris:20250613T120000
DTSTAMP:20250605T191834Z
URL:https://www.i2m.univ-amu.fr/evenements/averages-of-sl2-r-automorphic-k
 ernel-and-arithmetic-applications/
SUMMARY:Lasse Grimmelt (Université d'Oxford): Averages of SL(2\, R) automo
 rphic kernel and arithmetic applications
DESCRIPTION:Lasse Grimmelt: Counting integer solutions to equation with SL2
  symmetry (ad-bc=h in the easiest case) is a surprisingly deep and importa
 nt problem in analytic number theory. In this talk\, which is based on rec
 ent work with J. Merikoski\, I will present a modern perspective on this. 
 Our modern perspective is based on the spectral theory of automorphic kern
 el and with it we can count solutions to equations with SL2 symmetry with 
 uniformity and in a more conceptual manner than was possible previously. A
 s an arithmetic application\, I will show how this leads to a an improveme
 nt when approximating Landau's famous conjecture that n2+1 should be prime
  infinitely often.
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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DTSTART:20250330T030000
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