BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:A problem of Katz on modular structures of Kloosterman sums
DTSTART:20190501T141500
DTEND:20190501T151500
DTSTAMP:20260921T013850Z
UID:2f30be371dab777544a77bfb14702fb5c92ce5115ae062388b2686c0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ping Xi (Xi'an Jiaotong University)\nAround 40 years ago\, Kat
 z proposed a problem on modular structures of Kloosterman sums that $\\pm 
 S(1\,1\;p)/\\sqrt{p}$ with prime moduli $p$ might coincide with the $p$-th
  Fourier coeffcient of certain Hecke--Maass cusp form for $GL_2$. In this 
 talk\, we will show how to combine a weighted Selberg sieve\, $\\ell$-adic
  cohomology and spectral theory of automorphic forms to provide a partial 
 ``negative" answer to this problem in the sense of almost prime moduli.
LOCATION:
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR