Mathematical Sciences: Minimal K-types and Hecke Algebra    Isomorphisms for p-adic Groups
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The theory of Lie groups, named in honor of the Norwegian               mathematician Sophus Lie, has been one of the major themes in                   twentieth century mathematics.  As the mathematical vehicle for                 exploiting the symmetries inherent in a system, Lie theory has                  had a profound impact upon mathematics itself and theoretical                   physics, especially quantum mechanics and elementary particle                   physics.                                                                                A major application of Lie thoery is to algebraic number                theory, for which an understanding of the p-adic theory is                      essential.  Professor Moy is possibly the strongest young                       researcher in this area.  His recent work on minimal K-types and                Hecke isomorphism provides some of the most important advances in               the representation theory of p-adic groups in a long time.  Moy                 plans to continue the development of this theory.  His proposed                 work generalizes the most current results from the real theory to               the p-adic case.  Professor Moy envisages application to the                    crucial discrete series of representations.
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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