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SUMMARY:Alexander Perry (University of Michigan)
DTSTART:20210629T150000Z
DTEND:20210629T160000Z
DTSTAMP:20260423T004515Z
UID:DerSem/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/21/">
 Serre functors of semiorthogonal components</a>\nby Alexander Perry (Unive
 rsity of Michigan) as part of Derived seminar\n\n\nAbstract\nThe Serre fun
 ctor of a triangulated category is one of its most important invariants\, 
 playing the role of the dualizing complex of a variety in noncommutative a
 lgebraic geometry. I will explain how to describe the Serre functors of ma
 ny semiorthogonal components of varieties in terms of spherical twists\, w
 ith applications to a dimension formula for Kuznetsov components of comple
 te intersections conjectured by Katzarkov and Kontsevich\, to the nonexist
 ence of Serre invariant stability conditions\, and to the construction of 
 Calabi-Yau categories as crepant contractions. This is joint work with Ale
 xander Kuznetsov.\n
LOCATION:https://researchseminars.org/talk/DerSem/21/
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