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SUMMARY:Richard Thomas (Imperial College London)
DTSTART:20211012T160000Z
DTEND:20211012T170000Z
DTSTAMP:20260423T040002Z
UID:ZAG/154
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/154/">Hi
 gher rank DT theory from curve counting</a>\nby Richard Thomas (Imperial C
 ollege London) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstr
 act\nFix a Calabi-Yau 3-fold X. Its DT invariants count stable bundles and
  sheaves on X. The generalised DT invariants of Joyce-Song count semistabl
 e bundles and sheaves on X. I will describe work with Soheyla Feyzbakhsh s
 howing these generalised DT invariants in any rank r can be written in ter
 ms 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 in
 variants are predicted by S-duality to be governed by (vector-valued\, moc
 k) modular forms.\n
LOCATION:https://researchseminars.org/talk/ZAG/154/
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