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SUMMARY:Soheyla Feyzbakhsh (Imperial College)
DTSTART:20201015T185000Z
DTEND:20201015T195000Z
DTSTAMP:20260423T022927Z
UID:GPRTatNU/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/5/"
 >An application of Bogomolov-Gieseker type inequality to counting invarian
 ts</a>\nby Soheyla Feyzbakhsh (Imperial College) as part of Geometry\, Phy
 sics\, and Representation Theory Seminar\n\n\nAbstract\nIn this talk\, I w
 ill work on a smooth projective threefold $X$ which satisfies the Bogomolo
 v-Gieseker conjecture of Bayer-Macrì-Toda\, such as the projective space 
 $\\mathbb{P}^3$ or the quintic threefold. I will show certain moduli space
 s of 2-dimensional torsion sheaves on $X$ are smooth bundles over Hilbert 
 schemes of ideal sheaves of curves and points in $X$. When $X$ is Calabi-Y
 au this gives a simple wall crossing formula expressing curve counts (and 
 so ultimately Gromov-Witten invariants) in terms of counts of D4-D2-D0 bra
 nes. This is joint work with Richard Thomas\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/5/
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