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SUMMARY:Noah Olander (Columbia University)
DTSTART;VALUE=DATE-TIME:20211210T200000Z
DTEND;VALUE=DATE-TIME:20211210T210000Z
DTSTAMP;VALUE=DATE-TIME:20221209T132801Z
UID:agstanford/70
DESCRIPTION:Title: Semiorthogonal decompositions and dimension\nby Noah Olander (Colu
mbia University) as part of Stanford algebraic geometry seminar\n\n\nAbstr
act\nA conjecture of Orlov predicts that we can recover the dimension of a
smooth quasi-projective variety from its derived category via the Rouquie
r dimension. We explain the meaning of the conjecture and some things we k
now about it\, then we explain the proof of a weakened version. We use thi
s to prove a fact predicted by Orlov’s conjecture: If the derived catego
ry of X appears as a component of a semiorthogonal decomposition of the d
erived category of Y (X\,Y smooth proper varieties) then the dimension of
X is at most the dimension of Y.\n\nThe synchronous discussion for Noah Ol
ander’s talk is taking place not in zoom-chat\, but at https://tinyurl.c
om/2021-12-10-no (and will be deleted after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/70/
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