Séminaire Géométrie et groupes discrets

On Θ-positive Surface Subgroups in PO(p,q)

by Prof. Maria Beatrice Pozzetti (Universität Heidelberg)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

Surprisingly, there exist connected components of character varieties of fundamental groups of surfaces in semisimple Lie groups consisting only of injective representations with discrete image. Guichard and Wienhard introduced the notion of Θ-positive representations as a conjectural framework to explain this phenomenon. I will discuss joint work with Jonas Beyrer in which we establish several geometric properties of Θ-positive representations in PO(p,q). As an application, we deduce that they indeed form connected components of character varieties.

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- all the participants who will attend the event in person will have to keep their mask on in indoor spaces
and where the social distancing is not possible;
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without it;
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- Over 25 persons in the conference room, every participant will be asked to provide a health pass which will
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Organized by

Fanny Kassel

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