Mathematical Sciences: The Schwartz Space of Real Reductive Lie Groups and the Theory of L-Groups
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The principal investigators plan to work on problems in                    mathematical analysis concerning the representation theory of                   Lie groups.  A suitable example of the latter is the group of                   rotations of a sphere.  Groups like this are important because                  they occur in many areas of mathematics ( e.g. geometry,                        differential equations, algebraic number theory, mathematical                   physics ) as groups of symmetries.  Representation theory allows                one to take advantage of symmetries in solving problems.                             More specifically, they will be working with real reductive                Lie groups.  Interactions with the theory of automorphic forms,                 for instance via the non-linear two-fold coverings of algebraic                 groups, will be explored.  Work will continue on a project                      concerning the Schwartz space of reductive Lie groups, with                     emphasis on the infinite center case.
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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