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SUMMARY:BPS invariant from non Archimedean integrals - Francesca Carocci\,
  École Polytechnique Fédérale de Lausanne
DTSTART:20220316T141500Z
DTEND:20220316T151500Z
UID:TALK170408@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:We consider moduli spaces M(ß\,χ)  of one-dimensional semist
 able sheaves on del Pezzo and K3 surfaces supported on ample curve classes
 . \nWorking over a non-archimedean local field F\, we define a natural mea
 sure on the F-points of such moduli spaces. We prove that the integral of 
 a certain naturally defined gerbe on M(ß\,χ) with respect to this measur
 e is independent of the Euler characteristic.\nAnalogous statements hold f
 or (meromorphic or not) Higgs bundles.\nRecent results of Maulik-Shen and 
 Kinjo-Coseki imply that these integrals compute the BPS invariants for the
  del Pezzo case and for Higgs bundles.\nThis is a joint work with Giulio O
 recchia and Dimitri Wyss.
LOCATION:CMS MR13
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