Today, there was the Séminaire Bourbaki, which takes place every four months in Paris.
The list of the talks can be found here.
Interesting from the point of view „Geometry at Infinity“ was especially the talk of Olivier Guichard regarding work of Kapovich-Leeb-Porti and Labourie on convex-cocompact groups in higher rank symmetric spaces:
Another talk was by Serge Cantat about the recent progress towards Zimmer‘s conjecture.
The other two talks were about representation theory.