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SUMMARY:Francesca Carocci (EPFL Institute of Mathematics)
DTSTART:20220329T123000Z
DTEND:20220329T133000Z
DTSTAMP:20260404T131158Z
UID:BPSworkshop/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/BPSwo
 rkshop/1/">BPS invariant from non Archimedean integrals</a>\nby Francesca 
 Carocci (EPFL Institute of Mathematics) as part of BPS workshop\n\n\nAbstr
 act\nWe consider moduli spaces M(ß\,χ)  of one-dimensional semistable sh
 eaves on del Pezzo and K3 surfaces supported on ample curve classes. \n\nW
 orking 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 cer
 tain naturally defined gerbe on M(ß\,χ) with respect to this measure is 
 independent of the Euler characteristic.\n\nAnalogous statements hold for 
 (meromorphic or not) Higgs bundles.\n\nRecent results of Maulik-Shen and K
 injo-Koseki imply that these integrals compute the BPS invariants for the 
 del Pezzo case and for Higgs bundles.\n\nThis is a joint work with Giulio 
 Orecchia and Dimitri Wyss.\n
LOCATION:https://stable.researchseminars.org/talk/BPSworkshop/1/
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BEGIN:VEVENT
SUMMARY:Naoki Koseki (University of Edinburgh)
DTSTART:20220329T134500Z
DTEND:20220329T144500Z
DTSTAMP:20260404T131158Z
UID:BPSworkshop/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/BPSwo
 rkshop/2/">Cohomological χ-independence for Gopakumar-Vafa invariants of 
 local curves</a>\nby Naoki Koseki (University of Edinburgh) as part of BPS
  workshop\n\n\nAbstract\nMaulik and Toda recently gave a mathematical defi
 nition of Gopakumar-Vafa(GV) invariants (a.k.a. BPS invariants) for Calabi
 -Yau threefolds. The GV invariants are expected to be equivalent to other 
 curve counting theories such as Gromov-Witten theory (GW=GV conjecture). O
 ne of the mysterious features of GV invariants is their χ-independence\, 
 which should be true assuming GW=GV conjecture.\n\nI will explain my joint
  work with Tasuki Kinjo (Tokyo)\, where we proved the χ-independence for 
 GV invariants 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://stable.researchseminars.org/talk/BPSworkshop/2/
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BEGIN:VEVENT
SUMMARY:Carocci - Koseki
DTSTART:20220329T144500Z
DTEND:20220329T153000Z
DTSTAMP:20260404T131158Z
UID:BPSworkshop/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/BPSwo
 rkshop/3/">Open discussion with the speakers</a>\nby Carocci - Koseki as p
 art of BPS workshop\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BPSworkshop/3/
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