Date:	Mon, April 20, 2009
Time:	17:15
Place:	Research II Lecture Hall

Abstract: Classical Fourier analysis has an exact counterpart in group theory and in some areas of geometry. I'll describe how this goes for nilpotent Lie groups and for a class of Riemannian manifolds closely related to a nilpotent Lie group structure. I'll recall the classical Fourier inversion formula, show how it works on the Heisenberg group and how that extends to Kirillov theory, and then say something about commutative spaces G/K where a nilpotent subgroup of G is transitive.