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SUMMARY:Eisenstein series and the cubic moment for PGL(2)
DTSTART:20200319T151500
DTEND:20200319T163000
DTSTAMP:20260427T210705Z
UID:d9fa9171711d929467605eab2f0ff0018e0c0354a1ab3d451b0d6cff
CATEGORIES:Conferences - Seminars
DESCRIPTION:Paul NELSON (ETHZ)\nWe will discuss how to study the cubic mom
 ent of any family of automorphic L-functions on PGL(2) using regularized d
 iagonal periods of Eisenstein series\, following a strategy suggested by M
 ichel--Venkatesh. Applications include generalizations to the setting of n
 umber fields of some results of Conrey--Iwaniec and Petrow--Young\, improv
 ed estimates for representation numbers of ternary quadratic forms over nu
 mber fields\, and improvements to the prime geodesic theorem on arithmetic
  hyperbolic $3$-folds.
LOCATION:MA A3 31 https://plan.epfl.ch/?room==MA%20A3%2031
STATUS:CONFIRMED
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