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SEMINARS
Greenberg`s conjecture for Z_p^d-towers
时间  Datetime
2017-12-13 15:00 — 16:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Daqing Wan
单位  Affiliation
University of California, Irvine
邀请人  Host
Jiyou Li
报告摘要  Abstract

 For a Z_p^d-tower of a global field K,  Greenberg conjectured
that the exponent of p dividing the  class  number  of  the n-th 
extension in the tower is given by a polynomial in n and p^n of total degree at 
most d for all large n.  This conjecture is well known to be true for d=1
(classical Iwasawa theory) but remains open for $d>1$.  In this talk,
we explain why the conjecture is true when K is a global function field.