Seminario Teoría de Grupos

Complex hyperbolic representations of groups: the infinite-dimensional setting

Ponente:  Gonzalo Ruiz (ICMAT)
Fecha:  miércoles 08 de octubre de 2025 - 16:30
Lugar:  Aula Naranja, ICMAT

Resumen:

Part of the content is a joint effort with Nicolas Monod. We will introduce tools that allow us to study, deform, and define invariants for the isometric representations of groups into complex hyperbolic spaces. These tools were constructed by drawing an analogy with the real negative-type functions as well as with previous constructions by Py-Monod and Monod. 

We will describe some results concerning the representations of the groups PU(1,n) and PO(1,n) that can be obtained with these tools.  

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