BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Triality\, two geometries and one amalgam non-uniq
 ueness result - Dr. Justin McInroy (Lincoln Colleg
 e\, Oxford)
DTSTART;TZID=Europe/London:20111104T140000
DTEND;TZID=Europe/London:20111104T150000
UID:TALK34116AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/34116
DESCRIPTION:A polar space $\\Pi$ is a geometry whose elements 
 are the totally isotropic subspaces of a vector sp
 ace $V$ with respect to either an alternating\, He
 rmitian\, or quadratic form. We may form a new geo
 metry $\\Gamma$ by removing all elements contained
  in either a hyperplane $F$ of $\\Pi$\, or a hyper
 plane $H$ of the dual $\\Pi^*$. This is a \\emph{b
 iaffine polar space}.\n\nWe will discuss two speci
 fic examples arising from the triality in $O^+_8(q
 )$.  By considering the stabilisers of a maximal f
 lag\, we get an amalgam\, or "glueing"\, of groups
  for each example. However\, the two examples have
  "similar" amalgams - this leads to a group recogn
 ition result for their automorphism groups\, $q^7:
 G_2(q)$ and $Spin_7(q)$.
LOCATION:MR4
CONTACT:Joanna Fawcett
END:VEVENT
END:VCALENDAR