Pardon the wild question, but
Are there any known connections between Kazhdan's property (T) and number theory, or number theoretic consequences of property (T)?
Edit: To clarify, I'd like to know if there are consequences of property (T) in modern number theory that are significant to number theorists, and in what way are they significant (I'm not a number theorist, and so mostly am looking for enrichment on how thing fit together!)
Thanks, in advance, for any thoughts or references!