{ "id": "math/0305344", "version": "v1", "published": "2003-05-24T10:47:31.000Z", "updated": "2003-05-24T10:47:31.000Z", "title": "Cohomology of moduli spaces", "authors": [ "Frances Kirwan" ], "comment": "ICM talk; 18 pages", "journal": "ICM 2002, Vol 1, 363-382", "categories": [ "math.AG" ], "abstract": "Some recent progress towards understanding the cohomology of moduli spaces of curves is described. Madsen and Weiss have given a proof of a generalisation of Mumford's conjecture on the stable cohomology of these moduli spaces M_g, and other contributors have made advances related to Faber's conjectures on the tautological ring of M_g.", "revisions": [ { "version": "v1", "updated": "2003-05-24T10:47:31.000Z" } ], "analyses": { "subjects": [ "14H10", "14H15", "32G15", "55R40", "57R20" ], "keywords": [ "moduli spaces", "mumfords conjecture", "fabers conjectures", "stable cohomology" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......5344K" } } }