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:Isaac Newton Institute Seminar Series
SUMMARY:Unipotent elements in irreducible representations
of simple algebraic groups - Mikko Korhonen (Unive
rsity of Manchester)
DTSTART;TZID=Europe/London:20200303T110000
DTEND;TZID=Europe/London:20200303T120000
UID:TALK140077AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/140077
DESCRIPTION:Let G be a simple linear algebraic group over an a
lgebraically closed field K of characteristic p &g
e\; 0. In this talk\, I will discuss the following
question and some related problems. Let f:G &rar
r\; I(V) be a rational irreducible representation\
, where I(V) = SL(V)\, I(V) = Sp(V)\, or I(V) = SO
(V). For each unipotent element u &isin\; G\, what
is the conjugacy class of f(u) in I(V)? Solution
s to this question in specific cases have found ma
ny applications\, one basic motivation being in th
e problem of determining the conjugacy classes of
unipotent elements contained in maximal subgroups
of simple algebraic groups. In characteristic zero
\, there is a fairly good answer by results of Jac
obson-Morozov-Kostant. I will focus on the case of
positive characteristic p > 0\, where much less i
s known and few general results are available. Whe
n G is simple of exceptional type\, computations d
ue to Lawther describe the conjugacy class of f(u)
in SL(V) in the case where V is of minimal dimens
ion (adjoint and minimal modules). I will discuss
some recent results in the case where G is simple
of classical type.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
END:VEVENT
END:VCALENDAR