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SUMMARY:Analytic pro-p groups over pro-p domains - an introduction - Ben K
 lopsch (Magdeburg and Royal Holloway)
DTSTART:20130322T120000Z
DTEND:20130322T130000Z
UID:TALK43788@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:The theory of Lie groups is highly developed in characteristic
  zero. Over the last decades\, the theory of compact p-adic analytic group
 s has led to profound applications in finite and infinite group theory.\nI
 n contrast to this\, fairly little is known about analytic groups over loc
 al fields of positive characteristic p or\, more generally\, pro-p domains
  of characteristic p and higher Krull dimension.  I will briefly recall ke
 y aspects of the theory of p-adic analytic groups and touch upon applicati
 ons of the available Lie theory to representation zeta functions.\nThen I 
 will focus on the structure theory of analytic groups over pro-p domains o
 f positive characteristic.  Here I will outline both what we know and what
  we do not yet know.
LOCATION:MR12
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