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SUMMARY:Non-abelian Stark-type conjectures - Andreas Nickel (Regensburg)
DTSTART:20110301T143000Z
DTEND:20110301T153000Z
UID:TALK28538@talks.cam.ac.uk
CONTACT:Tom Fisher
DESCRIPTION:Let _L/K_ be a finite Galois extension of number fields with G
 alois group _G_. We use leading terms (resp. values) of Artin _L_-series a
 t strictly negative integers (resp. at zero) to construct elements which w
 e conjecture to lie in the annihilator ideal associated to the Galois acti
 on on the higher dimensional algebraic _K_-groups of the ring of integers 
 in _L_ (resp. on the class group of\n_L_). For abelian _G_ our conjectures
  coincide with conjectures of Snaith and Brumer\, and thus generalize also
  the well known Coates-Sinnott conjecture. We discuss how they are related
  to the equivariant Tamagawa number conjecture and provide some non-conjec
 tural evidence for our conjectures.\n
LOCATION:MR13
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