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Westlake AGNT seminar 第六期

2023-10-12 09:39:52

时间:2023年10月18日(星期三)14:00-15:00

地点:云谷校区E4-233 & ZOOM

ZOOM ID: 921 6725 8223

密码:064984


主讲人:Zili Zhang, Tongji University

报告题目:Simpson's correspondence and the P=W conjecture

报告摘要:For a complex projective curve C and a reductive group G, the character variety M_B and the moduli of Higgs bundles M_Dol are canonically homeomorphic via the non-abelian Hodge correspondence and hence the cohomology groups of them are naturally identified. The geometric structures of the moduli spaces induce various filtrations in the cohomology groups. De Cataldo-Hausel-Migliorini conjectured in 2012 that the Perverse filtration (P) of M_Dol is identical to the Hodge-theoretic Weight filtration (W) of M_B; the P=W conjecture. We will introduce the background recent progress of the P=W conjecture.