BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Number Theory Seminar
SUMMARY:Distribution of Hecke eigenvalues - Jasmin Matz (U
niversity of Copenhagen)
DTSTART;TZID=Europe/London:20200128T143000
DTEND;TZID=Europe/London:20200128T153000
UID:TALK135295AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135295
DESCRIPTION:There are many difficult conjectures about automor
phic\nrepresentations\, many of which seem to be o
ut of reach at the moment.\nIt has therefore becom
e increasingly popular to study instead families\n
of automorphic representations and their statistic
al properties\, which\nallows for additional analy
tic techniques to be used.\n\nIn my talk I want to
discuss the distribution of Hecke eigenvalues\nor
\, in other words\, Satake parameters in the famil
y of spherical\nunramified automorphic representat
ions of split classical groups. We\nobtain an eff
ective distribution of the Satake parameters\, whe
n we\norder the family according to the size of an
alytic conductor. This has\napplications to variou
s questions in number theory\, for example\,\nlow-
lying zeros in families of automorphic L-functions
\, but also yields\nan effective Weyl law for the
underlying locally symmetric space. This\nis joint
work with T. Finis.
LOCATION:MR13
CONTACT:Jessica Fintzen
END:VEVENT
END:VCALENDAR