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The existence and uniqueness of Whittaker functions for GL(n,R): an approach through Schubert geometry

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NC2W02 - Crossing the bridge: New connections in number theory and physics

I will discuss older joint work with Wilfried Schmid on constructing Whittaker functions (and more generally, Whittaker models) for GL(n,R).  Our approach extends the generic character (from the definition of Whittaker function) to a distributional section of a line bundle, via birational maps which desingularize the various disjoint pieces in the Bruhat decomposition.  A recent breakthrough by Doyon Kim gives a formula for the birational map, from which the main properties of Whittaker models become manifest.

This talk is part of the Isaac Newton Institute Seminar Series series.

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