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This lecture will be an elaboration of some ideas dwelt upon in colloquium lecture, but the latter will not be a prerequisite. We shall analyze how the concepts mentioned in the title come together in the case of semi-simple Lie groups where for the purposes of this lecture one can focus on the group of invertible matrices in some dimension.
This lecture is part of Invitation
Pre-candidacy students can sign up for this lecture series by registering for one credit hour of Math 693, Call # 21412 (with Prof H. Moscovici).