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Automorphisms of curve and pants complexes in profinite content

By Louis Funar

Appears in collection : Teichmüller Theory: Classical, Higher, Super and Quantum / Théorie de Teichmüller : classique, supérieure, super et quantique

Pants complexes of large surfaces were proved to be vigid by Margalit. We will consider convergence completions of curve and pants complexes and show that some weak four of rigidity holds for the latter. Some key tools come from the geometry of Deligne Mumford compactification of moduli spaces of curves with level structures.

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Citation data

  • DOI 10.24350/CIRM.V.19656303
  • Cite this video Funar, Louis (06/10/2020). Automorphisms of curve and pants complexes in profinite content. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19656303
  • URL https://dx.doi.org/10.24350/CIRM.V.19656303

Bibliography

  • BOGGI, Marco, FUNAR, Louis, et LOCHAK, Pierre. Automorphisms of procongruence curve complexes and anabelian properties of moduli stacks of curves. arXiv preprint arXiv:2004.04135, 2020. - https://arxiv.org/abs/2004.04135

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