Corpus ID: 237213724

On the geometric P=W conjecture

@inproceedings{Mauri2018OnTG,
title={On the geometric P=W conjecture},
author={Mirko Mauri and Enrica Mazzon and Matthew Stevenson},
year={2018}
}
• Published 28 October 2018
• Mathematics
We formulate the geometric P=W conjecture for singular character varieties. We establish it for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus. To this end, we employ non-Archimedean, birational and degeneration techniques to study the topology of the dual boundary complex of certain character varieties. We also clarify the relation between the geometric and the cohomological P=W conjectures.
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