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CATEGORIES:Number Theory Seminar
SUMMARY:Iwasawa theory for modular forms at supersingular 
 primes - Antonio Lei (Cambridge)
DTSTART;TZID=Europe/London:20081021T143000
DTEND;TZID=Europe/London:20081021T153000
UID:TALK13970AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/13970
DESCRIPTION:Let _f_ = \\sum _a_n_ _q^n_ be a normalised new fo
 rm. If _p_ is a supersingular prime for _f_\, the 
 classical _p_-adic _L_-functions have unbounded co
 efficients. In the case of _a_p_ = 0\, Pollack has
  defined plus and minus _p_-adic _L_-functions for
  _f_ which have bounded coefficients. Generalising
  Kobayahsi's work on elliptic\ncurves\, we will de
 fine Selmer subgroups which are cotorsion over the
  cyclotomic extension of *Q* and relate them to Po
 llack's _p_-adic _L_-functions via the constructio
 n of Coleman maps. This enables us to state a vers
 ion of the Iwasawa main conjecture.\n
LOCATION:MR13
CONTACT:Tom Fisher
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