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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Higgs bundles\, spectral data\, and applications
DTSTART:20150623T141500
DTEND:20150623T160000
DTSTAMP:20260509T115351Z
UID:c24fcf7b364504b514e2760180d9df3e0a196e1049744aab5c53c630
CATEGORIES:Conferences - Seminars
DESCRIPTION:Laura Schaposnik\nHiggs bundles (introduced by N. Hitchin in 1
 987) are pairs of holomorphic vector bundles and  holomorphic 1-forms tak
 ing values in the endomorphisms of the bundle.  The moduli space of Higgs
  bundles carries a natural Hyperkahler structure\, through which we can st
 udy Lagrangian subspaces (A-branes) or holomorphic subspaces (B-branes) wi
 th respect to each structure. Notably\, these A and B-branes have gained s
 ignificant attention in string theory.\nWe shall begin the talk by first i
 ntroducing Higgs bundles for complex Lie groups and the associated Hitchin
  fibration\, and recalling how to realize Langlands duality through spectr
 al data. We will then look at a natural construction of families of subspa
 ces which give different types of branes. Finally\, we shall explain how t
 he topology of some of these branes can be completely determined via the m
 onodromy action of the Hitchin system. Time permitting\, we shall give som
 e applications of the above approaches in relation to Langlands duality an
 d the study of character varieties. Some of the work presented during the 
 talk is in collaboration with David Baraglia (Adelaide).
LOCATION:MA A3 30 http://plan.epfl.ch/?zoom=19&recenter_y=5864131.98476&re
 center_x=731135.48838&layerNodes=fonds\,batiments\,labels\,information\,pa
 rkings_publics\,arrets_metro\,transports_publics&floor=3&q=MA_A330
STATUS:CONFIRMED
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