Fundamental groups, slalom curves and extremal length

Lundi 10 février 15:30-16:30 - Burglind Jöricke - MPIM

Résumé : We define the extremal length of elements of the fundamental group of the twice punctured complex plane and give effective estimates for this invariant. The main motivation comes from 3-braid invariants and their application, for instance to effective finiteness theorems in the spirit of the Geometric Shafarevich Conjecture over Riemann surfaces of second kind.

Lieu : IMO ; salle 3L8.

Fundamental groups, slalom curves and extremal length  Version PDF