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SUMMARY:Francesca Carocci
DTSTART:20220208T150000Z
DTEND:20220208T160000Z
DTSTAMP:20260423T052834Z
UID:Freemath/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/70/
 ">BPS invariant from non Archimedean integrals</a>\nby Francesca Carocci a
 s part of Free Mathematics Seminar\n\n\nAbstract\nWe consider moduli space
 s M(ß\,χ)  of one-dimensional semistable sheaves on del Pezzo and K3 sur
 faces supported on ample curve classes. \nWorking over a non-archimedean l
 ocal field F\, we define a natural measure 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 measure is independent of the Euler charac
 teristic.\nAnalogous statements hold for (meromorphic or not) Higgs bundle
 s.\nRecent results of Maulik-Shen and Kinjo-Coseki imply that these integr
 als compute the BPS invariants for the del Pezzo case and for Higgs bundle
 s.\nThis is a joint work with Giulio Orecchia and Dimitri Wyss.\n
LOCATION:https://researchseminars.org/talk/Freemath/70/
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