Séminaire Géométrie et groupes discrets

A Survey of Teichmüller Curves

by Curtis McMullen (Harvard University)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

Le Bois Marie 35, route de Chartres CS 40001 91893 Bures-sur-Yvette Cedex
Description

A Teichmüller curve V in Mg is an isometrically immersed algebraic curve in the moduli space of Riemann surfaces. These rare, extremal objects lie at the nexus of algebraic geometry, number theory, complex analysis and surface topology. We will discuss some ideas behind the known constructions of Teichmüller curves that have been discovered over the past 30 years, and a selection of open problems.

Organized by

Fanny Kassel

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