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SUMMARY:Francesca Carocci (EPFL Institute of Mathematics)
DTSTART:20220329T123000Z
DTEND:20220329T133000Z
DTSTAMP:20260422T212554Z
UID:BPSworkshop/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPSworkshop/
 1/">BPS invariant from non Archimedean integrals</a>\nby Francesca Carocci
  (EPFL Institute of Mathematics) as part of BPS workshop\n\n\nAbstract\nWe
  consider moduli spaces M(ß\,χ)  of one-dimensional semistable sheaves o
 n del Pezzo and K3 surfaces supported on ample curve classes. \n\nWorking 
 over a non-archimedean local field F\, we define a natural measure on the 
 F-points of such moduli spaces. We prove that the integral of a certain na
 turally defined gerbe on M(ß\,χ) with respect to this measure is indepen
 dent of the Euler characteristic.\n\nAnalogous statements hold for (meromo
 rphic or not) Higgs bundles.\n\nRecent results of Maulik-Shen and Kinjo-Ko
 seki imply that these integrals compute the BPS invariants for the del Pez
 zo case and for Higgs bundles.\n\nThis is a joint work with Giulio Orecchi
 a and Dimitri Wyss.\n
LOCATION:https://researchseminars.org/talk/BPSworkshop/1/
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BEGIN:VEVENT
SUMMARY:Naoki Koseki (University of Edinburgh)
DTSTART:20220329T134500Z
DTEND:20220329T144500Z
DTSTAMP:20260422T212554Z
UID:BPSworkshop/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPSworkshop/
 2/">Cohomological χ-independence for Gopakumar-Vafa invariants of local c
 urves</a>\nby Naoki Koseki (University of Edinburgh) as part of BPS worksh
 op\n\n\nAbstract\nMaulik and Toda recently gave a mathematical definition 
 of Gopakumar-Vafa(GV) invariants (a.k.a. BPS invariants) for Calabi-Yau th
 reefolds. The GV invariants are expected to be equivalent to other curve c
 ounting theories such as Gromov-Witten theory (GW=GV conjecture). One of t
 he mysterious features of GV invariants is their χ-independence\, which s
 hould be true assuming GW=GV conjecture.\n\nI will explain my joint work w
 ith Tasuki Kinjo (Tokyo)\, where we proved the χ-independence for GV inva
 riants on certain class of non-compact Calabi-Yau threefolds which we call
  local curves. I will also explain applications to Higgs bundles.\n
LOCATION:https://researchseminars.org/talk/BPSworkshop/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carocci - Koseki
DTSTART:20220329T144500Z
DTEND:20220329T153000Z
DTSTAMP:20260422T212554Z
UID:BPSworkshop/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPSworkshop/
 3/">Open discussion with the speakers</a>\nby Carocci - Koseki as part of 
 BPS workshop\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BPSworkshop/3/
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