SMS scnews item created by Haotian Wu at Thu 10 Aug 2017 1517
Modified: Mon 14 Aug 2017 1012
Expiry: 9 Feb 2018
Calendar1: 17 Aug 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Krishnendu Gongopadhyay -- Quaternionic Fenchel-Nielsen coordinates
Geometry & Topology Seminar
Quaternionic Fenchel-Nielsen coordinates
Krishnendu Gongopadhyay (IISER Mohali)
Thursday 17 August 12:00–13:00 in Carslaw 535A.
Please join us for lunch after the talk!
In this talk we shall discuss a classification of pairs of loxodromic elements in Sp(2,1). This is a counterpart of the classification of (0, 3) sunbgroups of SL(2, R) that provided the Fenchel-Nielsen coordinates on the Teichmuller space. In this case, Sp(2,1) is the isometry group of the quaternionic hyperbolic plane and this classification should provide some degrees of freedom for conjugacy classes of discrete, faithful, totally loxodromic representations of a surface group into Sp(2,1).