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:Families of Drinfeld modular forms for GL(N) - Mar
c-Hubert Nicole (Montréal/Marseille)
DTSTART;TZID=Europe/London:20190604T143000
DTEND;TZID=Europe/London:20190604T153000
UID:TALK124708AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/124708
DESCRIPTION:Hida once described his theory of families of ordi
nary p-adic modular eigenforms as obtained from cu
tting «the clear surface out of the pitch-dark wel
l too deep to see through » of the space of all el
liptic modular forms.\nIn this talk\, we shall pee
r into the well of Drinfeld modular forms instead
of classical modular forms.\nMore precisely\, we s
hall explain how to construct families of finite s
lope Drinfeld modular forms over Drinfeld modular
varieties of any dimension.\nIn the ordinary case
(the « clear surface »)\, we show that the weight
may vary p-adically in families of Drinfeld modula
r forms (a direct analogue of Hida’s Vertical Cont
rol Theorem). In the deeper & murkier waters of po
sitive slope\, the situation is more subtle: the w
eight may indeed vary continuously\, but not analy
tically\, thereby contrasting markedly with Colema
n’s well-known p-adic theory. (Joint work with G.
Rosso.)
LOCATION:MR13
CONTACT:G. Rosso
END:VEVENT
END:VCALENDAR