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DTSTAMP:20260406T074328Z
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\, ISTA
ORGANIZER:
SUMMARY:Arielle Leitner: Limits of the diagonal Cartan subgroup in SL(n\,R)
  and SL(n\, Q_p) 
URL:https://talks-calendar.ista.ac.at/events/2869
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