Surfaces without short curves.

Speaker:

Bram Petri

Affiliation:

MPIM

Date:

Tue, 10/11/2015 - 13:00 - 13:30

Location:

MPIM Lecture Hall [2]

Parent event:

Geometric Analysis & Differential Geometry Short talks [3]

The length of the shortest closed curve on a hyperbolic surface is bounded by a logartihmic function of its genus. It is also known that the length of the shortest closed curve on a congruence cover of an arithmetic surface is logarithmic in the genus of the cover. In this talk I will discuss a geometric construction of surfaces that have this property. This is joint work with Alexander Walker.