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:Cambridge Analysts' Knowledge Exchange
SUMMARY:Minimal Graphs in Arbitrary Codimension - Spencer
Hughes (CCA)
DTSTART;TZID=Europe/London:20140521T160000
DTEND;TZID=Europe/London:20140521T170000
UID:TALK52390AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/52390
DESCRIPTION:The minimal surface equation is the prototypic exa
mple of a nonlinear (quasilinear to be precise) se
cond order elliptic PDE. It has been studied in de
pth and as such a lot is known about graphical min
imal submanifolds in codimension one (the geometri
c objects which the equation describes). By contra
st\, relatively little is known about graphical mi
nimal submanifolds in higher codimension. This lac
k of knowledge is in some sense 'explained' by the
failure of standard\, desirable PDE results for t
he minimal surface system\, all of which is descri
bed in the wonderfully titled 1977 paper of Lawson
and Osserman: "Non-existence\, non-uniqueness and
irregularity of solutions to the minimal surface
system". The reality of course is that the failure
of the standard results opens up many much more i
nteresting questions\, many of which are still ope
n. I intend to sketch some less common proofs of w
ell-known facts in the codimension one case\, disc
uss whether or not they generalize to higher codim
ension and then possibly make some conjectures.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Vittoria Silvestri
END:VEVENT
END:VCALENDAR