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 Geometry Seminar
SUMMARY:Localization theorems in Kähler geometry - Alexia
Corradini\, Institut Polytechnique de Paris
DTSTART;TZID=Europe/London:20220617T160000
DTEND;TZID=Europe/London:20220617T170000
UID:TALK175472AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175472
DESCRIPTION:I will start by introducing localization theorems\
, which are powerful tools in equivariant cohomolo
gy that allow one to simplify an integral over a s
pace with a group action to an integral over its f
ixed locus. I will then describe a very popular pr
oblem in Kähler geometry since the 1950s\, which i
s the search for metrics having particularly 'nice
' curvature properties. In some cases\, it is conj
ectured that the existence of such metrics is equi
valent to some algebro-geometric notion of stabili
ty\, and localization can be used to relate these
two counterparts\, as well as make explicit comput
ations. I will end by talking about my current wor
k\, which is to apply this technique to the recent
work of Ruadhaí Dervan\, extending this correspon
dence between algebro-geometric quantities and exi
stence of solutions to geometric PDEs.
LOCATION:MR13
CONTACT:
END:VEVENT
END:VCALENDAR