Higgs bundles, pseudo-hyperbolic geometry and maximal representations

Jeremy Toulisse

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arXiv · 1709.06197

Higgs bundles, pseudo-hyperbolic geometry and maximal representations

Jeremy Toulisse

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Abstract

These notes are an extended version of a talk given by the author in the seminar "Theorie Spectrale et Geometrie" at the Institut Fourier in No- vember 2016. We present here some aspects of a work in collaboration with B. Collier and N. Tholozan (arXiv:1702.08799). We describe how Higgs bundle theory and pseudo-hyperbolic geometry interfere in the study of maximal representations into Hermitian Lie groups of rank 2.

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Jeremy Toulisse. 2017-09-18. Higgs bundles, pseudo-hyperbolic geometry and maximal representations. https://arxiv.org/abs/1709.06197

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