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SUMMARY:Theo Raedschelders (Free University of Brussels)
DTSTART:20210119T160000Z
DTEND:20210119T170000Z
DTSTAMP:20260423T004512Z
UID:DerSem/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/3/">A
  categorification of Galkin-Shinder's Y-F(Y) relation</a>\nby Theo Raedsch
 elders (Free University of Brussels) as part of Derived seminar\n\n\nAbstr
 act\nFor a smooth cubic hypersurface Y\, Sergey Galkin and Evgeny Shinder 
 exhibited a relation between the naive motives of Y\,  the Fano variety F(
 Y) of lines and the Hilbert scheme Y^{[2]} of two points on Y. This relati
 on has been shown to persist both on the level of rational Chow motives an
 d integral Hodge structures. In a joint work with Pieter Belmans and Lie F
 u\, we lift this relation to derived categories by exhibiting a correspond
 ing semi-orthogonal decomposition for the derived category of Y^{[2]}. I w
 ill explain how to obtain this semi-orthogonal decomposition from a refine
 ment of Bondal-Orlov's results on derived categories of flips and how to f
 urther deduce an isomorphism of integral Chow motives using a recent resul
 t of Qingyuan Jiang.\n
LOCATION:https://researchseminars.org/talk/DerSem/3/
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