30 September 2025 to 3 October 2025
Palazzo del Castelletto
Europe/Rome timezone

Hodge theory and projective structures on compact Riemann surfaces

2 Oct 2025, 14:30
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Dr Carolina Tamborini (Universität Duisburg-Essen)

Description

A projective structure on a compact Riemann surface is an equivalence class of projective atlases, i.e., an equivalence class of coverings by holomorphic coordinate charts such that the transition functions are all Moebius transformations. Any compact Riemann surface admits two canonical projective structures: one coming from uniformization's theorem, and one from Hodge theory. These yield two (different) families of projective structures over the moduli space Mg of compact Riemann surfaces. We wish to compare them and give a characterization of the Hodge theoretic family.

Primary author

Dr Carolina Tamborini (Universität Duisburg-Essen)

Presentation materials

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