Modul:   MAT077  Geometry Graduate Colloquium

Modular embeddings of Teichmüller curves and modular forms

Vortrag von Nicole Müller

Sprecher eingeladen von: Prof. Dr. Corinna Ulcigrai

Datum: 08.05.25  Zeit: 16.15 - 17.15  Raum: ETH HG G 19.2

Teichmüller curves are special curves in the moduli space of curves that appear in the study of dynamics of billiard tables. In this talk we explain how to construct flat surfaces out of billiard tables and how optimal billiard dynamics give rise to Teichmüller curves. Furthermore, we explain how the arithmetic of Teichmüller curves is encoded by modular embeddings and Hilbert modular forms.