BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20210328T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20201025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20210123T212348Z
UID:1607605200@ist.ac.at
DTSTART:20201210T140000
DTEND:20201210T150000
DESCRIPTION:Speaker: Arielle Leitner\nhosted by Timothy Browning \nAbstract
: A conjugacy limit group is the limit of a sequence of conjugates of the
positive diagonal Cartan subgroup\, C \\leq SL(n) in the Chabauty topolog
y. Over R\, the group C is naturally associated to a projective n-1 sim
plex. We can compute the conjugacy limits of C by collapsing the n-1 sim
plex in different ways. In low dimensions\, we enumerate all possible wa
ys of doing this. In higher dimensions we show there are infinitely many
non-conjugate limits of C. In the Q_p case\, SL(n\,Q_p) has an associat
ed p+1 regular affine building. (We'll give a gentle introduction to bui
ldings in the talk). The group C stabilizes an apartment in this buildin
g\, and limits are contained in the parabolic subgroups stabilizing the fa
cets in the spherical building at infinity. There is a strong interplay be
tween the conjugacy limit groups and the geometry of the building\, which
we exploit to extend some of the results above. The Q_p part is joint wo
rk with Corina Ciobotaru and Alain Valette.
LOCATION:https://mathseminars.org/seminar/AGNTISTA\, IST Austria
ORGANIZER:
SUMMARY:Limits of the diagonal Cartan subgroup in SL(n\,R) and SL(n\, Q_p)
URL:https://talks-calendar.app.ist.ac.at/events/2869
END:VEVENT
END:VCALENDAR