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CATEGORIES:Number Theory Seminar
SUMMARY:Joint distribution of spins and applications - Djo
 rdjo Milovic (University College London)
DTSTART;TZID=Europe/London:20200303T143000
DTEND;TZID=Europe/London:20200303T153000
UID:TALK135919AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135919
DESCRIPTION:We will state and sketch the proof of a result abo
 ut 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 study how *p* decomposes in a certain quadra
 tic extension K_p of K where p ramifies. Thus our 
 result can be viewed as an analogue of the Chebota
 rev Density Theorem to a setting where the extensi
 on of number fields varies along with the primes. 
 We will then give an application of our result to 
 the problem of existence of governing fields for t
 he 16-rank of class groups. This is joint work wit
 h Peter Koymans.
LOCATION:MR12
CONTACT:Cong Xue
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