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:A mirror symmetry conjecture - Michela Barbieri\,
University College London
DTSTART;TZID=Europe/London:20231117T160000
DTEND;TZID=Europe/London:20231117T170000
UID:TALK204301AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/204301
DESCRIPTION:Anything about mirror symmetry refers to some myst
erious relationships between complex and symplecti
c geometry. One form of it says that if you have s
ome complex geometry X\, there is a mirror symplec
tic geometry Y such that (in some sense) the deriv
ed category of coherent sheaves on X\, denoted D^b
(Coh X)\, is equivalent to the Fukaya category of
Y\, denoted Fuk(Y). \n\nIn fact\, starting from a
complex geometry (think an algebraic variety) ther
e isn't just one mirror. There's a family of mirro
rs living over a parameter space\, which is someti
mes referred to as the Stringy Kähler Moduli Space
(SKMS). The fundamental group of the SKMS acts na
turally on Fuk(Y) via monodromy\, and by mirror sy
mmetry\, we expect to see this action carry over.
My goal is to explain some details of this story i
n the context of Calabi Yau toric geometric invari
ant theory\, where it's conjectured that the funda
mental group acts on the derived category via sphe
rical twists. We'll start by introducing the deriv
ed category\, geometric invariant theory\, and see
where we get to!
LOCATION:MR13
CONTACT:Alexis Marchand
END:VEVENT
END:VCALENDAR