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SUMMARY:Kai Behrend (UBC)
DTSTART;VALUE=DATE-TIME:20211112T200000Z
DTEND;VALUE=DATE-TIME:20211112T210000Z
DTSTAMP;VALUE=DATE-TIME:20211209T080115Z
UID:agstanford/68
DESCRIPTION:Title: Donaldson-Thomas theory of the quantum Fermat quintic\nby Kai Behr
end (UBC) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nWe
study non-commutative projective varieties in the sense of Artin-Zhang\,
which are given by non-commutative homogeneous coordinate rings\, which ar
e finite over their centre. We construct moduli spaces of stable modules
for these\, and construct a symmetric obstruction theory in the CY3-case.
This gives deformation invariants of Donaldson-Thomas type. The simplest
example is the Fermat quintic in quantum projective space\, where the coor
dinates commute up to carefully chosen 5th roots of unity. We explore the
moduli theory of finite length modules\, which mixes features of the Hilbe
rt scheme of commutative 3-folds\, and the representation theory of quiver
s with potential. This is mostly work of Yu-Hsiang Liu\, with contributio
ns by myself and Atsushi Kanazawa.\n
LOCATION:https://researchseminars.org/talk/agstanford/68/
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