时间：2026年4月29日（周三）14:00-16:00
地点：E14-116
主讲人：Zili Zhang, Tongji University
讲座主题：The P=W phenomenon for cluster varieties
讲座摘要: In the non-abelian Hodge theory, character varieties are canonically homeomorphic to the corresponding moduli spaces of Higgs bundles. The recently proved P=W conjecture indicates that the perverse filtration (P) associated with the Hitchin map from the Higgs moduli matches the Hodge-theoretic weight filtration (W) of character varieties. In this talk, we will show that a similar P=W phenomenon also occurs on cluster varieties. We will introduce the background and recent progress. The talk is not aimed at specialists.
