Corpus ID: 237213724

On the geometric P=W conjecture

  title={On the geometric P=W conjecture},
  author={Mirko Mauri and Enrica Mazzon and Matthew Stevenson},
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. 
1 Citations
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