An application of a Bogomolov-Gieseker type inequality to counting invariants
Speaker: Soheyla Feyzbakhsh (Imperial College)

Time: 15h15, 19/2/2021

Abstract: In this talk, I will work on a smooth projective threefold X which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macr`i-Toda, such as the projective space P^3 or the quintic threefold. I will show certain moduli spaces 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-Yau this gives a simple wall crossing formula expressing curve counts (and so ultimately Gromov-Witten invariants) in terms of counts of D4-D2-D0 branes. This is joint work with Richard Thomas.

Join Zoom Meeting:


Meeting ID: 947 8793 7855

Passcode: 323472

For general information of the AGEA seminar, please check out


or the mirror site