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Strong property (T), subexponential growth of derivatives and invariant metrics

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NPC - Non-positive curvature group actions and cohomology

I will discuss how one uses the strong property (T) of Lafforgue to find invariant smooth metrics for actions with subexponential growth of derivatives. This is the “easier half” of the recent proof of many cases of Zimmer's conjecture by myself, Brown and Hurtado.  I will begin by motivating and explaining strong property (T) and move on to the application.



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