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SUMMARY:Full Exceptional Collections on Isotropic Grassmannians
DTSTART:20250612T120000Z
DTEND:20250612T140000Z
DTSTAMP:20260423T155700Z
UID:indico-event-14206@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lyalya Guseva\n\nThe bounded derived category of coh
 erent sheaves\, D(X)\, is an important invariant of an algebraic variety X
 . While the structure of derived categories is generally quite intricate\,
  in certain cases\, when D(X) admits a so-called full exceptional collecti
 on\, it can be described explicitly. Some of the earliest examples of full
  exceptional collections were constructed by Kapranov in 1983 for classica
 l Grassmannians. Since then\, a well-known conjecture has suggested that f
 ull exceptional collections consisting of vector bundles exist in the deri
 ved categories of all rational homogeneous varieties. In my talk\, I will 
 outline the proof of this conjecture for all rational homogeneous varietie
 s associated with symplectic groups. This is joint work with Sasha Novikov
 .\n \n\nhttps://indico.math.cnrs.fr/event/14206/
LOCATION:M7-411
URL:https://indico.math.cnrs.fr/event/14206/
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