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Richard Thomas: Nonabelian DT theory from abelian DT theory

Time: Tue 2021-09-07 14.30 - 15.30

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan (alt. Zoom, meeting ID: 921 756 1880)

Lecturer: Richard Thomas (Imperial College London, online)

Abstract: Fix a Calabi–Yau 3-fold X. Its DT invariants count stable bundles and sheaves on X. Joyce's generalised DT invariants count semistable bundles and sheaves on X. I will describe work with Soheyla Feyzbakhsh showing these generalised DT invariants in any rank r can be written in terms of rank 1 invariants. By the MNOP conjecture the latter are determined by the GW invariants of X. Along the way we also express rank r DT invariants in terms of rank 0 invariants counting sheaves supported on surfaces in X. These invariants are predicted by S-duality to be governed by (vector-valued mock) modular forms.

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Belongs to: Department of Mathematics
Last changed: Sep 06, 2021