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SUMMARY:Intersection theory on moduli spaces of parabolic bundles - Miguel
  Moreira\, MIT
DTSTART:20250129T141500Z
DTEND:20250129T151500Z
UID:TALK227134@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:The geometry\, topology and intersection theory of moduli spac
 es of stable vector bundles on curves have been topics of interest for mor
 e than 50 years. In the 90s\, Jeffrey and Kirwan managed to prove a formul
 a proposed by Witten for the intersection numbers of tautological classes 
 on such moduli spaces. In this talk\, I will explain a different way to ca
 lculate those numbers and\, more generally\, intersection numbers on modul
 i of parabolic bundles. Enriching the problem with a parabolic structure g
 ives access to powerful tools\, such as wall-crossing\, Hecke transforms a
 nd Weyl symmetry. If time allows\, I will explain how this approach gives 
 a new proof of (a generalization to the parabolic setting of) a vanishing 
 result conjectured by Newstead and proven by Earl and Kirwan.
LOCATION:CMS MR13
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