---
res:
  bibo_abstract:
  - Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism
    between two different moduli spaces associated to C. The first is the moduli space
    of Higgs bundles on C of rank n, which is equipped with the structure of an algebraic
    completely integrable Hamiltonian system. The second is the character variety
    of representations of the fundamental group of C into GL(n). In 2012, de Cataldo,
    Hausel, and Migliorini [1] proposed the P=W conjecture which identifies the perverse
    filtration on the cohomology of the Higgs moduli space with the weight filtration
    on the cohomology of the character variety. Recently, in 2022, two independent
    proofs of the P=W Conjecture appeared, in work of Maulik &Shen [2] and Hausel,
    Mellit, Minets &Schiffmann [6]. The aim of the Arbeitsgemeinschaft was to understand
    the P=W Conjecture and these two recent proofs.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Tamás
      foaf_name: Hausel, Tamás
      foaf_surname: Hausel
      foaf_workInfoHomepage: http://www.librecat.org/personId=4A0666D8-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9582-2634
  - foaf_Person:
      foaf_givenName: Davesh
      foaf_name: Maulik, Davesh
      foaf_surname: Maulik
  - foaf_Person:
      foaf_givenName: Anton
      foaf_name: Mellit, Anton
      foaf_surname: Mellit
  - foaf_Person:
      foaf_givenName: Olivier
      foaf_name: Schiffmann, Olivier
      foaf_surname: Schiffmann
  - foaf_Person:
      foaf_givenName: Junliang
      foaf_name: Shen, Junliang
      foaf_surname: Shen
  bibo_doi: 10.4171/owr/2024/16
  bibo_issue: '2'
  bibo_volume: 21
  dct_date: 2024^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1660-8933
  - http://id.crossref.org/issn/1660-8941
  dct_language: eng
  dct_publisher: EMS Press@
  dct_title: 'Arbeitsgemeinschaft: Geometry and representation theory around the P=W
    conjecture@'
...