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SUMMARY:Sergej Monavari (Universiteit Utrecht)
DTSTART:20211208T151500Z
DTEND:20211208T161500Z
DTSTAMP:20260423T022832Z
UID:LAGeNT/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGeNT/20/">
 Higher rank K-theoretic Donaldson-Thomas Theory of points</a>\nby Sergej M
 onavari (Universiteit Utrecht) as part of Leiden Algebra\, Geometry\, and 
 Number Theory Seminar\n\n\nAbstract\nA classical way to produce invariants
  is through intersection theory\, usually on a smooth projective variety. 
 We give a gentle introduction on how to use torus actions to refine invari
 ants in several directions\, for example K-theoretic and virtual invariant
 s. As a concrete example\, we explain how to extract meaningful invariants
  from the Quot schemes of quasi-projective smooth toric threefolds and how
  to refine them. We present and prove various closed formulas for differen
 t flavours of higher rank Donaldson-Thomas invariants of points\, solving 
 a series of conjectures proposed in String Theory. This is based on joint 
 work with N. Fasola and A. Ricolfi.\n
LOCATION:https://researchseminars.org/talk/LAGeNT/20/
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