Résume | L'exposé sera diffusé (https://zoom.us/j/3967518661), demander le mot de passe à Oliver B. ou D. ou Frederic H. We study the moduli spaces of k-canonical divisors on curves. We consider the limit of certain invariants (numerical or cohomological) associated to these spaces as k tends to infinity. We expect that these limit invariants describe the geometry of moduli spaces of Riemannian surfaces (hyperbolic, flat, or spherical) which are non-algebraic spaces. We will present different examples and conjectures for this principle. |