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SUMMARY:Semiorthogonal Decompositions of Singular Surfaces
DTSTART;VALUE=DATE-TIME:20190412T084500Z
DTEND;VALUE=DATE-TIME:20190412T094500Z
DTSTAMP;VALUE=DATE-TIME:20200716T050117Z
UID:indico-event-4584@indico.math.cnrs.fr
DESCRIPTION:It is well known that any smooth projective toric surface has
a full exceptional collection. I will talk about a generalization of this
fact for singular surfaces. First\, if the class group of Weil divisors of
the surface is torsion free (for instance\, this holds for all weighted p
rojective planes)\, I will construct a semiorthogonal decomposition of the
derived category with components equivalent to derived categories of modu
les over certain local finite dimensional algebras. When the class group h
as torsion\, a similar semiorthogonal decomposition will be constructed fo
r an appropriately twisted derived category. Many of these results extend
to non-necessarily toric rational surfaces. This is a joint work with Jose
ph Karmazyn and Evgeny Shinder.\n\nhttps://indico.math.cnrs.fr/event/4584/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4584/
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