[Todos CMAT] Seminario de Sistemas Dinámicos - Adrien Boyer (IMJ-PRG)

[seminarios en cmat.edu.uy]

Seminario de Sistemas Dinámicos
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Título: "On L^p boundary representations for lattices in SL(2,R)."

Expositor: Adrien Boyer (IMJ-PRG)

Resumen:
 
An interesting notion in Harmonic Analysis on groups is the notion of
irreducibility of representations. A way to produce such a representation is to
consider the action of a group on "its boundary" endowed with a nice class of
quasi-invariant measures  and to construct the corresponding unitary
representation on the L2 space of the boundary: this is the so-called quasi-
regular representation also called Koopman representation. Somehow,
irreducibility in this framework generalizes the notion of ergodicity of a group
action.

In this talk, I will discuss the notion for "L^p boundary representations" in
the setting of lattices in SL(2,R). These representations are not anymore
unitary representations but can be thought of as a deformation of the unitary
one. The irreducibility of such representations rely on the study of a Riesz
operator together with decay of matrix coefficients associated with boundary
representations and some equisitribution results à la Roblin-Margulis.


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Viernes 16/12 a las 14:30, Salón de seminarios del IMERL

Contacto: León Carvajales - lcarvajales en cmat.edu.uy
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La sesión será doble. A continuación de la charla de Boyer será la defensa de
Monografía de Licenciatura en Matemática de Elena Gomes.
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Más seminarios en: http://www.cmat.edu.uy/seminarios
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