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DTSTART;TZID=America/New_York:20211110T160000
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DTSTAMP:20240213T063355Z
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UID:10002116-1636560000-1636563600@cmsa.fas.harvard.edu
SUMMARY:Higher rank DT theory from rank 1
DESCRIPTION:Abstract: Fix a Calabi-Yau 3-fold X. Its DT invariants count stable bundles and sheaves on X. The generalised DT invariants of Joyce-Song 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 show they are determined by 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.
URL:https://cmsa.fas.harvard.edu/event/higher-rank-dt-theory-from-rank-1/
CATEGORIES:Joint Harvard-CUHK-YMSC Differential Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/20211110_Richard-Thomas_poster-1.png
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