Posted in

Speaker:

Xian Dai
Affiliation:

Heidelberg Universität
Date:

Tue, 25/01/2022 - 13:45 - 15:30 https://hu-berlin.zoom.us/j/61686623112

Contact: Gaetan Borot

We investigate the pressure metric defined in the space of

negatively curved Riemannian metrics proposed by Guillarmou, Knieper and

Lefeuvre in the Blaschke locus that contains the Teichmuller space. This

locus contains all Blaschke metrics arisen from affine geometry and is

naturally related to the Hitchin component in PGL(3,R). We study a

family of geodesics in this locus with respect to the pressure metric

and show that they have infinite lengths. This is joint work in progress

with Nikolaos Eptaminitakis.

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