p-adic Banach Space Representations

Dubravka Ban received her doctoral degree at the University of Zagreb. She was a postdoctoral fellow at the International Centre for Theoretical Physics in Trieste and a visiting assistant professor at Purdue University. Ban was a Humboldt research fellow at the University of Münster and University of Bonn. Currently, she is a professor of mathematics at Southern Illinois University, Carbondale. Her research is in the representation theory of p-adic groups in the context of Langlands program. Trained in the smooth representations on complex vector spaces, she is intrigued by the p-adic Banach space representations and finds them very interesting objects to study.

• - 1. Introduction. - Part I Banach Space Representations of p-adic Lie Groups. - 2. Iwasawa Algebras. - 3. Distributions. - 4. Banach Space Representations. - Part II Principal Series Representations of Reductive Groups. - 5. Reductive Groups. - 6. Algebraic and Smooth Representations. - 7. Continuous Principal Series. - 8. Intertwining Operators.

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