Time：14:00-16:00, Wednesday, April 29 2026
Venue：E14-116
Speaker：Zili Zhang, Tongji University
Title：The P=W phenomenon for cluster varieties
Abstract: 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.
