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  On the geometric P=W conjecture

Mauri, M., Mazzon, E., & Stevenson, M. (2022). On the geometric P=W conjecture. Selecta Mathematica, 28(3): 65. doi:0.1007/s00029-022-00776-0.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-B078-8 Version Permalink: https://hdl.handle.net/21.11116/0000-000A-B079-7
Genre: Journal Article

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 Creators:
Mauri, Mirko1, Author           
Mazzon, Enrica1, Author           
Stevenson, Matthew, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: 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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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 45
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1810.11837
DOI: 0.1007/s00029-022-00776-0
 Degree: -

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Title: Selecta Mathematica
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 28 (3) Sequence Number: 65 Start / End Page: - Identifier: -