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SUMMARY:BPS cohomology for rank 2 degree 0 Higgs bundle
DTSTART:20211118T141500
DTEND:20211118T160000
DTSTAMP:20260930T185332Z
UID:9ae79aa8b8ff255ccad99b4c341b34cbce7b9ab13927c8a9aad7deb0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sebastian Schlegel Mejia (University of Edinburgh)\nBPS cohomo
 logy for moduli spaces of Higgs bundles is a certain subspace of the compa
 ctly-supported cohomology of the stacks of semistable Higgs bundles that i
 n some sense “generates” the full cohomology.\nIt is a conjecture of D
 avison that the BPS Lie algebra for degree 0 Higgs bundles on a genus g>1 
 is freely generated as a Lie algebra by the intersection cohomology of the
  coarse moduli spaces.  I will discuss the verification of this conjectur
 e for the rank 2 part of the BPS Lie algebra\, which follows from an analy
 sis of the moduli stack of strictly semistable Higgs bundles that enables 
 a comparison with the computation of the intersection cohomology of the co
 arse moduli space by Mauri.\n\nIn the pretalk I will motivate BPS cohomolo
 gy by discussing simpler examples.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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