Moduli spaces of branched projective structures | Vidéo | Carmin.tv

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Moduli spaces of branched projective structures

By Gustave Billon

Appears in collection : Algebraic geometry and complex geometry / Géométrie algébrique et géométrie complexe

Complex projective structures, or PSL( $2, \mathbb{C})$-opers, play a central role in the theory of uniformization of Riemann surfaces. A very natural generalization of this notion is to consider complex projective structures with ramification points. This gives rise to the notion of branched projective structure, which is much more flexible in many aspects. For example, any representation of a surface group with values in $\operatorname{PSL}(2, \mathbb{C})$ is obtained as the holonomy of a branched projective structure. We will show that one of the central properties of complex projective structures, namely the complex analytic structure of their moduli spaces, extends to the branched case.

Information about the video

Date of recording 18/11/2024
Date of publication 04/12/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20270903
Cite this video Billon, Gustave (18/11/2024). Moduli spaces of branched projective structures. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20270903
URL https://dx.doi.org/10.24350/CIRM.V.20270903

Domain(s)

Bibliography

BILLON, Gustave. Moduli Spaces of Marked Branched Projective Structures on Surfaces. 2023. - https://doi.org/10.5802/jep.279

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