Titlebook: Representation Theory, Number Theory, and Invariant Theory; In Honor of Roger Ho Jim Cogdell,Ju-Lee Kim,Chen-Bo Zhu Book 2017 Springer Inte

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Plancherel Decomposition of Howe Duality and Euler Factorization of Automorphic Functionals,his pattern has already been observed and conjectured in the author’s prior work with Venkatesh in the case of .. Here, it is shown that the Rallis inner product formula amounts to the same principle in the setting of ..

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0743-1643 ity in 2015.Speakers include Roger Howe himself and other woThis book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor o

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Book 2017e‘s doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects..

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annexation

Problems Beyond Endoscopy,te the proposal by emphasizing its structural similarities with the actual theory of endoscopy. We shall then discuss a few of the many problems that will need to be solved, some of which are suggested by the recent work of A. Altuğ.

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On the Elliptic Nonabelian Fourier Transform for Unipotent Representations of ,-Adic Groups,parameters for unipotent elliptic representations of a split .-adic group and the second is defined in terms of the pseudocoefficients of these representations and Lusztig’s nonabelian Fourier transform for characters of finite groups of Lie type. We exemplify this relation in the case of the .-adic

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Estimates on Eisenstein Distributions for Reciprocals of ,-Adic ,-Functions: The Case of Irregular reciprocals of the Kubota-Leopoldt .-adic .-function. These distributions were shown there to be measures when . is regular. They fail to be measures when . is irregular; in this paper, we give quantitative estimates that describe their behavior more precisely.

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Period Relations and Special Values of Rankin-Selberg ,-Functions,sense. The base field is assumed to be a CM field. Deligne’s conjecture is stated in the language of motives over ., and expresses the critical values, up to rational factors, as determinants of certain periods of algebraic differentials on a projective algebraic variety over homology classes. The r