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Status |
Confirmed |
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Seminar Series |
MATH-IHES |
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Subjects |
hep-th |
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Date |
Monday 19 March 2018 |
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Time |
14:30 |
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Institute |
IHES |
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Seminar Room |
Amphithéâtre Léon Motchane |
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Speaker's Last Name |
Parreau |
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Speaker's First Name |
Anne |
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Speaker's Email Address |
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Speaker's Institution |
Université Grenoble Alpes |
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Title |
Geodesic currents, positive cross-ratios and degenerations of maximal representations |
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Abstract |
Degenerations of maximal representations of a surface group may be seen as maximal representations in Sp(2n,F) for some non-Archimedean real closed field F. We associate to every such maximal representation a geodesic current whose intersection number is the length function of the representation for the L^1 norm. When the current is a measured lamination, we reconstruct an equivariant isometric embedding of the dual real tree in the Bruhat-Tits building of Sp(2n,F). This involves a general construction of an intersection current associated to a non necessarily continuous positive cross-ratio.
This is joint work with Marc Burger, Alessandra Iozzi, and Beatrice Pozzetti.
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arXiv Preprint Number |
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Comments |
Séminaire Géométrie et groupes discrets |
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Attachments |
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