Lie Theory
Lie theory covers a broad scope; and understanding its associated structures, representation theory, and connections with fields such as algebra, number theory, and arithmetic geometry is a core area of contemporary mathematics. For instance, many areas focused on the automorphic representation theory of Lie groups (the Langlands program) exhibit great vitality and reveal the fundamental explanations that infinite-dimensional representations of Lie groups provide for important problems in number theory. The Lie theory team at Zhejiang University conducts research on Lie groups in areas including the representation theory of Lie groups over local fields, the automorphic representation theory of Lie groups over global fields, period integrals of Lie groups, and special value problems.
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Lie theory covers a broad scope; and understanding its associated structures, representation theory, and connections with fields such as algebra, number theory, and arithmetic geometry is a core area of contemporary mathematics. For instance, many areas focused on the automorphic representation theory of Lie groups (the Langlands program) exhibit great vitality and reveal the fundamental explanations that infinite-dimensional representations of Lie groups provide for important problems in number theory. The Lie theory team at Zhejiang University conducts research on Lie groups in areas including the representation theory of Lie groups over local fields, the automorphic representation theory of Lie groups over global fields, period integrals of Lie groups, and special value problems.
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