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SUMMARY:Joint distribution of spins and applications - Djordjo Milovic (Un
 iversity College London)
DTSTART:20200303T143000Z
DTEND:20200303T153000Z
UID:TALK135919@talks.cam.ac.uk
CONTACT:Cong Xue
DESCRIPTION:We will state and sketch the proof of a result about the joint
  distribution of spins of prime ideals. Roughly speaking\, given a number 
 field K\, for each prime *p* of K lying above a rational prime p\, we stud
 y how *p* decomposes in a certain quadratic extension K_p of K where p ram
 ifies. Thus our result can be viewed as an analogue of the Chebotarev Dens
 ity Theorem to a setting where the extension of number fields varies along
  with the primes. We will then give an application of our result to the pr
 oblem of existence of governing fields for the 16-rank of class groups. Th
 is is joint work with Peter Koymans.
LOCATION:MR12
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