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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Moduli in derived categories - Lieblich\, M (Washi
ngton)
DTSTART;TZID=Europe/London:20110505T110000
DTEND;TZID=Europe/London:20110505T120000
UID:TALK31145AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/31145
DESCRIPTION:Classical moduli theory was born with a focus on o
bjects we can easily see: varieties\, vector bundl
es\, morphisms\, etc. In the last half-century\,
we have come to perceive a slew of subtler invaria
nts\, such as the derived category of coherent she
aves on a variety\, that are decidedly murkier.\n\
nWithin the last decade\, moduli spaces of objects
in the derived category began to appear\, drawing
inspiration from birational geometry and mathemat
ical physics. It turns out that a systematic appro
ach to constructing these moduli spaces bears frui
t in such disparate areas as Gromov-Witten theory\
, arithmetic geometry\, and non-commutative algebr
a. I will describe some aspects of these moduli pr
oblems and a few of their principal applications.\
n\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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