Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Monday 9 October 2023
Time 14:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Labourie
Speaker's First Name François
Speaker's Email Address
Speaker's Institution Université Côte d'Azur
Title Positivity, Cross-ratios and the Collar Lemma
Abstract I will explain why positive representations of fundamental groups of surfaces satisfy a "collar lemma" similar to the classical collar lemma for hyperbolic geometry, and have associated positive cross-ratios. As a consequence, I will deduce that positive representations form closed subsets of the representation variety. I will spend some time recalling what a positive representation is, what the associated cross-ratios are, and explain the main new object that we shall use and that we call "photons". This is joint work with Jonas Beyrer, Olivier Guichard, Beatrice Pozzetti and Anna Wienhard.
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets

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