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SUMMARY:Junliang Shen (MIT)
DTSTART:20201228T003000Z
DTEND:20201228T013000Z
DTSTAMP:20260423T023931Z
UID:iccm2020/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/28/
 ">Cohomology of the moduli of Higgs bundles</a>\nby Junliang Shen (MIT) as
  part of ICCM 2020\n\n\nAbstract\nThe moduli space of Higgs bundles and H
 itchin‘s integrable system lie at the crossroads of mathematical physics
 \, representaton theory\, and geometry. In this talk\, we focus on the str
 ucture of cohomology for the moduli of Higgs bundle from the viewpoints of
  the non-abelian Hodge theorey\, hyper-Kähaler geometry\, and mirror symm
 etry. In particular\, we will discuss recent progress on the P=W conjectur
 e and Hausel-Thaddeus' topological mirror symmetry conjecture. Based on jo
 int work with Mark de Cataldo and Davesh Maulik.\n
LOCATION:https://researchseminars.org/talk/iccm2020/28/
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