University of Birmingham > Talks@bham > Analysis Seminar > Fixed point properties for groups acting on L^p spaces

Fixed point properties for groups acting on L^p spaces

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If you have a question about this talk, please contact Alessio Martini.

Groups can be investigated by considering how they can act on suitable spaces. For example, the notion of Kazhdan’s property (T), relating to how groups can act on Hilbert spaces, has been used very successfully for many applications over the last fifty years. More recently, similar definitions have been used to study actions on other Lp spaces. After outlining some of this story, I’ll explain why actions of random groups on Lp spaces have fixed points. This involves the study of eigenvalues of suitable operators on random graphs. (Joint work with Cornelia Drutu.)

This talk is part of the Analysis Seminar series.

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