Dedicated to the memory of Armand Borel, with affection and admiration
Let G be a connected semisimple Lie group such that the associated symmetric space X is Hermitian and let g be the fundamental group of a compact orientable surface of genus g ≥ 2. We survey the study of maximal representations of g into G, that is the subset of Hom( g, G) characterized by the maximality of the Toledo invariant ((17) and (15)). Then we concentrate on the particular case G = Sp(2n, R), and we show that if ρ is any maximal representation then the image ρ( g) is a discrete, faithful realizations of g as a Kleinian group of complex motions in X with an associated Anosov system, and whose limit set in an appropriate compactification of X is a rectifiable circle.
As part of ‘two essays in dialogue’ with a piece written by Dale Hudson, this article ::: advances critical discussions of the documentary film given the context of, and ::: challenges posed by, digitality. Specifically, it analyses ‘the digital’ in Michael ::: Takeo Magruder’s {transcription} and [FALLUJAH. IRAQ. 31/03/2004] and ::: Christina McPhee’s La Conchita mon amour as a means to advance discussion ::: of documentary beyond claims to realism and documentary truth towards what ::: Trinh T. Minh-ha calls ‘boundary events’. Tay argues that digital video, editing ::: and compositing expose the limitations of visual evidence to represent trauma.