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SUMMARY:Pietro Longhi (Uppsala University)
DTSTART:20220426T183000Z
DTEND:20220426T193000Z
DTSTAMP:20260423T004655Z
UID:nhetc/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/nhetc/39/">S
 tudies of five-dimensional BPS spectra and applications to enumerative geo
 metry</a>\nby Pietro Longhi (Uppsala University) as part of NHETC Seminar\
 n\n\nAbstract\nThe framework of spectral networks was introduced in physic
 s as a way to compute BPS states of 4d N=2 gauge theories. In this talk I 
 will review an extension of this framework\, known as exponential networks
 \, which arises in the study of 5d N=1 BPS states. Geometric engineering c
 onnects 5d N=1 BPS spectra to enumerative invariants of certain Calabi-Yau
  threefolds\, I will review the computation of old and new results in the 
 setting of local toric threefolds. I will also sketch a new perspective on
  this framework\, which elucidates the geometric meaning of the invariants
  computed by networks\, in terms of elementary data of A-branes in the mir
 ror geometry\, recovering an old conjecture of Joyce.\n
LOCATION:https://researchseminars.org/talk/nhetc/39/
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