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SUMMARY:Soheyla Feyzbakhsh (Imperial College London)
DTSTART;VALUE=DATE-TIME:20220527T190000Z
DTEND;VALUE=DATE-TIME:20220527T200000Z
DTSTAMP;VALUE=DATE-TIME:20221209T131839Z
UID:agstanford/87
DESCRIPTION:Title: Hyperkahler varieties as Brill-Noether loci on curves\nby Soheyla
Feyzbakhsh (Imperial College London) as part of Stanford algebraic geometr
y seminar\n\n\nAbstract\nConsider the moduli space $M_C(r\; K_C)$ of stabl
e rank r vector bundles on a curve $C$ with canonical determinant\, and le
t $h$ be the maximum number of linearly independent global sections of the
se bundles. If $C$ embeds in a K3 surface $X$ as a generator of $Pic(X)$ a
nd the genus of $C$ is sufficiently high\, I will show the Brill-Noether l
ocus $BN_C \\subset M_C(r\; K_C)$ of bundles with $h$ global sections is a
smooth projective Hyperkahler manifold\, isomorphic to a moduli space of
stable vector bundles on $X$. The main technique is to apply wall-crossing
with respect to Bridgeland stability conditions on K3 surfaces.\n\nThe sy
nchronous discussion for Soheyla Feyzbakhshâ€™s talk is taking place not i
n zoom-chat\, but at https://tinyurl.com/2022-05-27-sf (and will be delete
d after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/87/
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