BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The SL(2\,K) action on a tree\, its decomposition and higher dimen
 sional generalisations - Vincenzo Di Bartolo\, University of Cambridge
DTSTART:20221202T150000Z
DTEND:20221202T160000Z
UID:TALK178040@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION:For K a non Archimedean local field\, it is known (Ihara) that
  SL(2\,K) decomposes as an amalgam of two copies of SL(2\,O_K)\, and this 
 can be shown by letting the group act on a tree of 2-dimentional lattices 
 up to homothety. A natural question arises: can we decompose SL(n\,K) (wit
 h n>2) in a similar fashion by letting the group act on a similarly constr
 ucted higher dimensional simplicial complex? In this talk\, I will present
  a sketch of the proof of Ihara’s result and start to answer the questio
 n related to higher dimensions.
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR