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SUMMARY:Noah Olander (Columbia University)
DTSTART:20211210T200000Z
DTEND:20211210T210000Z
DTSTAMP:20260407T214640Z
UID:agstanford/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/7
 0/">Semiorthogonal decompositions and dimension</a>\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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