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SUMMARY:Hitchin moduli spaces from quivers with potential
DTSTART:20151020T151500
DTEND:20151020T170000
DTSTAMP:20260414T175507Z
UID:ee7b1cc58237603e5147f22bae2d4dcdbbaea02af3d175ed5ab33e0a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Tom Sutherland\, (Pavia)\nIn the first part I will describe ho
 w to associate how to associate a moduli space of solutions to Hitchin's e
 quations on a curve with possibly irregular singularities to each mutation
 -equivalence class of quivers with potential arising from triangulations o
 f a marked bordered surface.  Following Bridgeland-Smith this involves st
 udying stability conditions on the 3-Calabi-Yau triangulated category defi
 ned by the quiver with potential\, as suggested by the physics works of Ga
 iotto-Moore-Neitzke.\nIn the second part I will focus on the Hitchin modul
 i spaces of quaternionic dimension one obtained in this way\, which corres
 pond to certain quivers whose underlying graph is the Dynkin diagram of ei
 ther a finite\, affine or elliptic root system.  This trichotomy is refle
 cted both in the geometry of the elliptic fibration on the moduli space of
  Higgs bundles and the isomonodromy flow on the moduli space of flat conne
 ctions.
LOCATION:CHB331 http://plan.epfl.ch/?zoom=20&recenter_y=5864117.69298&rece
 nter_x=731381.1146&layerNodes=fonds\,batiments\,labels\,information\,parki
 ngs_publics\,arrets_metro\,transports_publics&floor=3&q=CHB331
STATUS:CONFIRMED
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