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SUMMARY:Miguel Moreira (MIT)
DTSTART:20250107T160000Z
DTEND:20250107T170000Z
DTSTAMP:20260423T022717Z
UID:Geolis/156
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/156/"
 >Intersection theory on moduli spaces of parabolic bundles</a>\nby Miguel 
 Moreira (MIT) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nThe geom
 etry\, topology and intersection theory of moduli spaces of stable vector 
 bundles on curves have been topics of interest for more than 50 years. In 
 the 90s\, Jeffrey and Kirwan managed to prove a formula proposed by Witten
  for the intersection numbers of tautological classes on such moduli space
 s. In this talk\, I will explain a different way to calculate those number
 s and\, more generally\, intersection numbers on moduli of parabolic bundl
 es. Enriching the problem with a parabolic structure gives access to power
 ful tools\, such as wall-crossing\, Hecke transforms and Weyl symmetry. If
  time allows\, I will explain how this approach gives a new proof of (a ge
 neralization to the parabolic setting of) a vanishing result conjectured b
 y Newstead and proven by Earl and Kirwan.\n
LOCATION:https://researchseminars.org/talk/Geolis/156/
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