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Automorphisms of curve and pants complexes in profinite content
Multi angle
Authors : Funar, Louis (Author of the conference)
CIRM (Publisher )
20F34 - Fundamental groups and their automorphisms
57M10 - Covering spaces
14D23 - Stacks and moduli problems
CIRM (Publisher )
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Abstract :
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.
Keywords : pants complex; curve complex; convergence completion; moduli space
MSC Codes : Keywords : pants complex; curve complex; convergence completion; moduli space
20F34 - Fundamental groups and their automorphisms
57M10 - Covering spaces
14D23 - Stacks and moduli problems
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/10/2020 Conference Date : 06/10/2020 Subseries : Research talks arXiv category : Group Theory ; Algebraic Geometry ; Geometric Topology Mathematical Area(s) : Algebra ; Geometry ; Algebraic & Complex Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 01:03:43 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-10-06_Funar.mp4 
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Information on the Event
Event Title : Teichmüller Theory: Classical, Higher, Super and Quantum / Théorie de Teichmüller : classique, supérieure, super et quantiqueEvent Organizers : Ohshika, Ken'ichi ; Papadopoulos, Athanase ; Penner, Robert C. ; Wienhard, Anna Dates : 05/10/2020 - 10/10/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/2216.html
Citation Data
DOI : 10.24350/CIRM.V.19656303Cite this video as: Funar, Louis (2020). Automorphisms of curve and pants complexes in profinite content. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19656303 URI : http://dx.doi.org/10.24350/CIRM.V.19656303 |
See Also
- [Multi angle] Equivalent curves on surfaces / Author of the conference Xu, Binbin.
- [Multi angle] Geometric approach to Hitchin components via punctual Hilbert schemes / Author of the conference Thomas, Alexander.
- [Multi angle] Algebraic intersection on translation surfaces / Author of the conference Massart, Daniel.
- [Multi angle] Local systems and Satake duality / Author of the conference Fock, Vladimir.
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
