Pure Maths Colloquium: Geometric and algebraic invariants in the complex hyperbolic plane.
2 March 2015 16:00 in CM221
In this talk, we will study different kinds of invariants for representations of F2, the free group of rank 2, in SU(2,1). In particular, we will focus on the corresponding character variety of F2, and understand geometrically special subvarieties obtained as fixed points of natural involutions. This involves relating algebraic invariants such as traces or eigenvalues, with geometric invariants, such as triple ratios or cross-ratios.
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