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SUMMARY:Zvi Shem-Tov (The Hebrew University of Jerusalem)
DTSTART:20210428T111000Z
DTEND:20210428T123000Z
DTSTAMP:20260423T024529Z
UID:GDS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/30/">Con
 jugation-invariant norms on arithmetic groups</a>\nby Zvi Shem-Tov (The He
 brew University of Jerusalem) as part of Geometry and Dynamics seminar\n\n
 \nAbstract\nA classical theorem of Ostrowski says that every absolute valu
 e on the \nfield of rational numbers\, or equivalently on the ring of inte
 gers\, is \nequivalent to either the standard (real) absolute value\, or a
  $p$-adic \nabsolute value\, for which the closure of the integers is comp
 act. In \nthis talk we will see a non-abelian analogue of this result for 
 \n$SL(n\\ge3\,\\Z)$\, and related groups of arithmetic type. We will see \
 na relation to the celebrated Margulis' normal subgroup theorem\, and \nde
 rive rigidity results for homomorphisms into certain non-locally \ncompact
  groups -- those endowed with a bi-invariant metric. We will \nalso discus
 s a relation to the deep work of Nikolov-Segal on profinite \ngroups. This
  is a joint work with Leonid Polterovich and Yehuda Shalom.\n
LOCATION:https://researchseminars.org/talk/GDS/30/
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