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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Dmitrii Pirozhkov (Columbia)\n\nSemiorthogonal decompositions o
f P^2 and torsion objectsâ€‹.\n\nFor projective spaces we know many different
semiorthogonal decompositions of their derived categories of coherent shea
ves. It's generally expected\, but not known aside from the case of P^1\, t
hat those standard decompositions are the only possible ones. For a project
ive plane I will show that a semiorthogonal decomposition D(P^2) = < A\, B
> is standard\, i.e. it comes from the standard exceptional collection\, un
der the additional assumption that either A or B contains a nonzero torsion
object. I will also explain why this assumption is reasonable and what nee
ds to be done to remove it.
DTEND:20191016T200000Z
DTSTAMP:20240713T053715Z
DTSTART:20191016T190000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-449
SEQUENCE:0
SUMMARY:Geometric Representation Theory Seminar
UID:tag:localist.com\,2008:EventInstance_31626128100966
URL:https://calendar.mit.edu/event/geometric_representation_theory_seminar_
148
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