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DTSTART:20180325T030000
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DTSTART:20181028T020000
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DTSTAMP:20260404T110203Z
UID:59c124b894336524957689@ist.ac.at
DTSTART:20180530T140000
DTEND:20180530T160000
DESCRIPTION:Speaker: André Oliveira\nhosted by Tamas Hausel\nAbstract: I w
 ill explain a recent work\, together with E. Franco\, P. Gothen and A. Pen
 -Nieto\, where we study the fixed loci on the moduli space M of GL(n\,C)-H
 iggs bundles (over a curve) for the action of tensorization by a line bund
 le of order n. This loci is hyperholomorphic and can be equipped with a hy
 perholomorphic sheaf\, hence is a BBB-brane on M. Such brane is expected t
 o be dual\, via mirror symmetry\, to a BAA-brane on M\, i.e. to a complex 
 Lagrangian subvariety equipped with a flat bundle. We describe such BAA-br
 ane and show that it can described via certain Hecke modifications. Finall
 y we prove the duality statement via explicit Fourier-Mukai transform. It 
 is noteworthy that these branes lie over the singular locus of the Hitchin
  fibration.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:André Oliveira: Branes on the Hitchin system arising from finite o
 rder line bundles
URL:https://talks-calendar.ista.ac.at/events/1200
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