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SUMMARY:The orbit method\, microlocal analysis and applications to L-funct
 ions
DTSTART:20230206T140000
DTEND:20230206T150000
DTSTAMP:20260406T192843Z
UID:065404e410997848d6dc01447b1a60f3a0efb15f5bf4224fbb030f0b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Paul Nelson\, Aarhus University \nSeminar in Mathematics\nAbst
 ract: L-functions are generalizations of the Riemann zeta function.  Thei
 r analytic properties control the asymptotic behavior of prime numbers in 
 various refined senses. Conjecturally\, every L-function is a "standard L-
 function" arising from an automorphic form. A problem of recurring interes
 t\, with widespread applications\, has been to establish nontrivial bounds
  for L-functions. I will survey some recent results addressing this proble
 m. The proofs involve the analysis of integrals of automorphic forms\, app
 roached through the lens of representation theory. I will emphasize the ro
 le played by the orbit method\, developed in a quantitative form along the
  lines of microlocal analysis.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010 https://epfl.zo
 om.us/j/65938369948
STATUS:CONFIRMED
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