BEGIN:VCALENDAR
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:André 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
END:VEVENT
END:VCALENDAR