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SUMMARY:Richard Thomas (Imperial College)
DTSTART:20210517T190000Z
DTEND:20210517T200000Z
DTSTAMP:20260423T035907Z
UID:WHCGP/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/33/">N
 onabelian DT theory from abelian DT theory</a>\nby Richard Thomas (Imperia
 l College) as part of Western Hemisphere colloquium on geometry and physic
 s\n\n\nAbstract\nFix a Calabi-Yau 3-fold X. Its DT invariants count stable
  bundles and sheaves on X. Joyce's generalised DT invariants count semista
 ble sheaves on X.\n\nI will describe ongoing work with Soheyla Feyzbakhsh 
 with the eventual aim of writing the generalised DT invariants in any rank
  r in terms of rank 1 invariants. By the MNOP conjecture the latter are de
 termined by the GW invariants of X.\n\nAlong the way we express rank r DT 
 invariants in terms of rank 0 invariants counting D4-D2-D0 branes. These i
 nvariants are predicted by S-duality to be governed by (vector-valued mock
 ) modular forms.\n\nBased partly on <a href="https://arXiv.org/abs/2007.03
 037">arXiv:2007.03037</a>  and <a href="https://arXiv.org/abs/2103.02915">
 arXiv:2103.02915</a> .\n
LOCATION:https://researchseminars.org/talk/WHCGP/33/
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