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Louis Hainaut: Of Riemannian surfaces and Teichmüller spaces

Time: Fri 2023-03-31 13.15 - 14.15

Location: Kovalevsky room, Albano

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I will talk about the problem of classifying Riemannian surfaces equipped with a certain structure. Such a structure can be for example a structure of symplectic manifold, a hyperbolic metric, or a structure of complex algebraic curve. It turns out that even though these structures look very different, they admit the same classification. An explicit such classification is obtained from the Teichmüller space. I will introduce these structures and the Teichmuller space, and if time permits I will explain the role they play in recent work of mine.