BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Think Locally\, Act Globally - Prof Kevin Buzzard (Imperial Colleg
 e
DTSTART:20111107T083000Z
DTEND:20111107T093000Z
UID:TALK34522@talks.cam.ac.uk
CONTACT:Mary Fortune
DESCRIPTION:Are there any rational solutions to x²+y²=-1? No\, because t
 here are no real solutions. How about x²+y²=3? Again the answer is no\, 
 but one way of showing this is by constructing a ‘local field’ — the
  3-adic numbers — which contains the rationals as a dense subfield\, and
  in which it’s easy to check that there are no solutions. It is far easi
 er to solve equations in these local fields than in global fields such as 
 the rationals\, and conversely\, sometimes solutions in all local fields c
 an imply solutions in a global field too.
LOCATION:Winstanley Lecture Theatre\, Trinity College
END:VEVENT
END:VCALENDAR