BIRS Workshop Lecture Videos
Metaplectic Iwahori-Whittaker functions and Demazure-Lusztig operators Puskás, Anna
Metaplectic Demazure-Lusztig operators are built on the Chinta-Gunnells action, and (analogously to their nonmetaplectic counterparts) are useful in the study of \(p\)-adic (metaplectic) Whittaker functions. In this talk, I will present joint work with Manish Patnaik that relates metaplectic Iwahori-Whittaker functions to these operators directly. This process gives a metaplectic analogue of earlier work of Brubaker-Bump-Licata in the nonmetaplectic setting. I will also talk about combinatorics that allow the extension of relevant formulae to the affine Kac-Moody groups.
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