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SUMMARY:Conjugacy classes in congruence quotients of Chevalley groups - Pi
 rita Paajanen\, University of Helsinki
DTSTART:20140305T163000Z
DTEND:20140305T173000Z
UID:TALK50231@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:We will consider the problem of counting the numbers of\nconju
 gacy classes in congruence quotients of Chevalley groups over the fields Q
 _p and F_t((p)) using zeta functions. We will explain how to express this 
 counting problem as a p-adic integral and apply methods from\nmodel theory
  to show that zeta functions counting conjugacy classes in congruence quot
 ients of such groups depend only on the size of the residue\nfield\, for s
 ufficiently large residue characteristic. In particular\, the number of co
 njugacy classes in a congruence quotient depends only on the size of the r
 esidue field.\n\nThis is joint work with Berman\, Derakhshan and Onn (Jour
 nal of LMS 2013).
LOCATION:MR12
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