On Central Critical Values Of The Degree Four L Functions For Gsp4 The Fundamental Lemma Iii

Author : Masaaki Furusawa
Publisher :
ISBN 13 : 9781470410575
Total Pages : 134 pages
Book Rating : 4.75/5 ( download)

DOWNLOAD NOW!

Download or read book On Central Critical Values of the Degree Four L-Functions for Gsp (4) written by Masaaki Furusawa and published by . This book was released on 2014-09-11 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of B{uml}ocherer's conjecture on the central critical values of the degree four L-functions for GSp(4), and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of two local relative orbital integrals. In order to show that they are equal, the authors compute them explicitly for certain bases of the Hecke algebra and deduce the matching.

Author : Masaaki Furusawa
Publisher : American Mathematical Soc.
ISBN 13 : 0821887424
Total Pages : 150 pages
Book Rating : 4.24/5 ( download)

DOWNLOAD NOW!

Download or read book On Central Critical Values of the Degree Four $L$-Functions for GSp(4): The Fundamental Lemma. III written by Masaaki Furusawa and published by American Mathematical Soc.. This book was released on 2013-08-23 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of Böcherer's conjecture on the central critical values of the degree four -functions for , and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of two local relative orbital integrals. In order to show that they are equal, the authors compute them explicitly for certain bases of the Hecke algebra and deduce the matching.

Author : Masaaki Furusawa
Publisher : American Mathematical Soc.
ISBN 13 : 0821833286
Total Pages : 158 pages
Book Rating : 4.85/5 ( download)

DOWNLOAD NOW!

Download or read book On Central Critical Values of the Degree Four $L$-functions for $\mathrm {GSp}(4)$: The Fundamental Lemma written by Masaaki Furusawa and published by American Mathematical Soc.. This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].

Author : Masaaki Furusawa
Publisher :
ISBN 13 : 9781470403805
Total Pages : 139 pages
Book Rating : 4.03/5 ( download)

DOWNLOAD NOW!

Download or read book On Central Critical Values of the Degree Four L-Functions for Gsp(4) written by Masaaki Furusawa and published by . This book was released on 2014-09-11 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statement of results Gauss sum, Kloosterman sum and Salie sum Matrix argument Kloosterman sums Evaluation of the Novodvorsky orbital integral Evaluation of the Bessel orbital integral Evaluation of the quadratic orbital integral Bibliography.

Author : Matt Kerr
Publisher : Cambridge University Press
ISBN 13 : 1316531392
Total Pages : 533 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book Recent Advances in Hodge Theory written by Matt Kerr and published by Cambridge University Press. This book was released on 2016-02-04 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture. Its mixture of high-quality expository and research articles make it a useful resource for graduate students and seasoned researchers alike.

Author : Yuri Tschinkel
Publisher : Universitätsverlag Göttingen
ISBN 13 : 3938616776
Total Pages : 168 pages
Book Rating : 4.72/5 ( download)

DOWNLOAD NOW!

Download or read book Algebraic Groups written by Yuri Tschinkel and published by Universitätsverlag Göttingen. This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Florin Diacu
Publisher : American Mathematical Soc.
ISBN 13 : 0821891367
Total Pages : 92 pages
Book Rating : 4.60/5 ( download)

DOWNLOAD NOW!

Download or read book Relative Equilibria in the 3-Dimensional Curved $n$-Body Problem written by Florin Diacu and published by American Mathematical Soc.. This book was released on 2014-03-05 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers the 3 -dimensional gravitational n -body problem, n32 , in spaces of constant Gaussian curvature k10 , i.e. on spheres S 3 ?1 , for ?>0 , and on hyperbolic manifolds H 3 ?1, for ?

Author : Lee Klingler
Publisher : American Mathematical Soc.
ISBN 13 : 0821837389
Total Pages : 187 pages
Book Rating : 4.82/5 ( download)

DOWNLOAD NOW!

Download or read book Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness written by Lee Klingler and published by American Mathematical Soc.. This book was released on 2005 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

Author : Milen Yakimov
Publisher : American Mathematical Soc.
ISBN 13 : 082189174X
Total Pages : 104 pages
Book Rating : 4.42/5 ( download)

DOWNLOAD NOW!

Download or read book On the Spectra of Quantum Groups written by Milen Yakimov and published by American Mathematical Soc.. This book was released on 2014-04-07 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras on simple algebraic groups in terms of the centers of certain localizations of quotients of by torus invariant prime ideals, or equivalently in terms of orbits of finite groups. These centers were only known up to finite extensions. The author determines the centers explicitly under the general conditions that the deformation parameter is not a root of unity and without any restriction on the characteristic of the ground field. From it he deduces a more explicit description of all prime ideals of than the previously known ones and an explicit parametrization of .

Author : Deguang Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821891723
Total Pages : 98 pages
Book Rating : 4.28/5 ( download)

DOWNLOAD NOW!

Download or read book Operator-Valued Measures, Dilations, and the Theory of Frames written by Deguang Han and published by American Mathematical Soc.. This book was released on 2014-04-07 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian. In the non-cb case the dilation space often needs to be a Banach space. They give applications to both the discrete and the continuous frame theory. There are natural associations between the theory of frames (including continuous frames and framings), the theory of operator-valued measures on sigma-algebras of sets, and the theory of continuous linear maps between -algebras. In this connection frame theory itself is identified with the special case in which the domain algebra for the maps is an abelian von Neumann algebra and the map is normal (i.e. ultraweakly, or weakly, or w*) continuous.