Xian Dai (Heidelberg Universität)
Tuesday, January 25, 2022 - 13:45
HU Berlin, Institut für Physik, IRIS-Haus
Zum Großen Windkanal 2, 12489 Berlin-Adlershof, Raum 1'021, https://hu-berlin.zoom.us/j/61686623112
Hybrid seminar: Algebra, Geometry and Physics (HU Berlin/MPIM Bonn)
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.
submitted by gaetan.borot@hu-berlin.de (gaetan.borot@hu-berlin.de)