Higgs bundles, pseudo-hyperbolic geometry and maximal representations | Zendy

Jérémy Toulisse | Zendy

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Higgs bundles, pseudo-hyperbolic geometry and maximal representations

Author(s) -

Jérémy Toulisse

Publication year - 2017

Publication title -

séminaire de théorie spectrale et géométrie

Language(s) - English

Resource type - Journals

eISSN - 2118-9242

pISSN - 1624-5458

DOI - 10.5802/tsg.357

Subject(s) - higgs boson , rank (graph theory) , hermitian matrix , mathematics , geometry , bundle , hyperbolic geometry , pure mathematics , algebra over a field , physics , combinatorics , algebraic geometry , particle physics , materials science , composite material

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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