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SUMMARY:The second  moment of twisted L-functions
DTSTART:20151008T141500
DTEND:20151008T151500
DTSTAMP:20260528T061922Z
UID:0c30815cf5aa7d1f751c1b5a67802b4d1fe53e4305f5dcfd7eb8f8ba
CATEGORIES:Conferences - Seminars
DESCRIPTION:Philippe Michel - EPFL\nWe present a solution of the longstand
 ing problem of evaluating with power saving error term the second moment o
 f central value of a Hecke L-function\ntwisted by characters of large prim
 e conductor and discuss its applications to non-vanishing.\nThe proof comb
 ines the theory of automorphic forms with bounds for bilinear sums of alge
 braic exponentials sums (Kloosterman sums)\nwhen the summations variables 
 are below the Polya–Vinogradov range and ultimately\, bounds for multiva
 riable sums of products of Kloosterman involving advanced tools\nfrom l-ad
 ic cohomology (determination of monodromy groups\, vanishing cycles comput
 ations\, Deligne’s semicontinuity theorem…).\nThis is a collection of 
 joint works with V. Blomer\, E. Fouvry\, E. Kowalski\, D. Milicevic and W.
  Sawin.
LOCATION:CM 1 121 http://plan.epfl.ch/?room=CM%201%20121
STATUS:CONFIRMED
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