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DTSTART:19700329T010000
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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Dimension estimates for coadmissible modules - Ric
 hard Mathers\, University of Oxford
DTSTART;TZID=Europe/London:20171110T150000
DTEND;TZID=Europe/London:20171110T160000
UID:TALK93793AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/93793
DESCRIPTION:In recent years\, Ardakov and Wadsley have compute
 d dimension estimates for coadmissible KG-modules\
 , where G is a compact p-adic analytic group and K
  is a field of very good characteristic p. My rece
 nt work has focused on extending these results to 
 cases where the characteristic of K is bad. The cl
 assical proof relies on fundamental geometric prop
 erties of the dual nilcone of a semisimple Lie alg
 ebra\; in particular\, finding a nice desingularis
 ation of the nilcone and demonstrating that it is 
 normal. I will discuss the importance of these pro
 perties\, and explain recent progress towards exte
 nding these results in cases where the prime p is 
 'adequate'.
LOCATION:CMS\, MR14
CONTACT:Nicolas Dupré
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