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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20200114T150704Z
DTSTART:20200128T150000Z
DTEND:20200128T160000Z
SUMMARY:AndrĂ© Macedo (Reading) - Explicit methods for the Hasse norm pri
nciple
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}hin-k0gm8kr
5-o2whvo
DESCRIPTION:Abstract: Given an extension L/K of number fields\, we say th
at the Hasse norm principle (HNP) holds if every non-zero element of K w
hich is a norm everywhere locally is in fact a global norm from L. If L/
K is cyclic\, the original Hasse norm theorem states that the HNP holds.
More generally\, there is a cohomological description (due to Tate) of
the obstruction to the HNP for Galois extensions. \n\nIn this talk\, I w
ill present work (joint with Rachel Newton) developing explicit methods
to study this principle for non-Galois extensions. As a key application\
, I will describe how these methods can be used to characterize the HNP
for extensions whose normal closure has Galois group A_n or S_n. I will
additionally discuss the geometric interpretation of this principle and
how it relates to the weak approximation property for norm one tori. If
time permits\, I will also present some recent generalizations of the af
orementioned methods to study the Hasse principle for multinorm equation
s.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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