By Hida H., et al. (eds.)

In Contributions to Automorphic kinds, Geometry, and quantity conception, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi collect a distinct team of specialists to discover automorphic kinds, mostly through the linked L-functions, illustration concept, and geometry. simply because those subject matters are on the innovative of a relevant quarter of contemporary arithmetic, and are concerning the philosophical base of Wiles' facts of Fermat's final theorem, this e-book may be of curiosity to operating mathematicians and scholars alike. by no means formerly released, the contributions to this quantity divulge the reader to a bunch of adverse and thought-provoking problems.Each of the extreme and remarkable mathematicians during this quantity makes a different contribution to a box that's at present seeing explosive development. New and strong effects are being proved, noticeably and constantly altering the field's make up. Contributions to Automorphic varieties, Geometry, and quantity idea will most likely result in very important interplay between researchers and likewise support arrange scholars and different younger mathematicians to go into this interesting region of natural mathematics.Contributors: Jeffrey Adams, Jeffrey D. Adler, James Arthur, Don Blasius, Siegfried Boecherer, Daniel Bump, William Casselmann, Laurent Clozel, James Cogdell, Laurence Corwin, Solomon Friedberg, Masaaki Furusawa, Benedict Gross, Thomas Hales, Joseph Harris, Michael Harris, Jeffrey Hoffstein, Hervé Jacquet, Dihua Jiang, Nicholas Katz, Henry Kim, Victor Kreiman, Stephen Kudla, Philip Kutzko, V. Lakshmibai, Robert Langlands, Erez Lapid, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze-Pillot, Joseph Shalika, David Soudry, Ramin Takloo-Bigash, Yuri Tschinkel, Emmanuel Ullmo, Marie-France Vignéras, Jean-Loup Waldspurger.

Show description

Read Online or Download Contributions to automorphic forms, geometry, and number theory: in honor of Joseph Shalika PDF

Best nonfiction_3 books

Low Voltage Wiring: Security Fire Alarm Systems, Third Edition

Best-of-the-best directions for dealing with low voltage wiring The A-Z reference on designing, fitting, preserving, and troubleshooting glossy safety and hearth alarm structures is now absolutely up to date in a brand new version. ready by way of Terry Kennedy and John E. Traister, authors with over 3 a long time of hands-on event apiece within the building undefined, Low Voltage Wiring: Security/Fire Alarm platforms, 3rd variation presents all of the applicable wiring info you want to paintings on defense and fireplace alarm platforms in residential, advertisement, and commercial structures.

Every Child Matters: A Practical Guide for Teaching Assistants

This crucial and ground-breaking source for all practicing and aspiring educating assistants brings jointly all of the an important details essential to aid the complete variety of newbies, from Early Years to Key degree four in a single complete quantity. in response to the revised nationwide Occupational criteria for instructing assistants, this booklet successfully helps the personalized studying and each baby concerns (ECM) health of youngsters and children in colleges.

Extra info for Contributions to automorphic forms, geometry, and number theory: in honor of Joseph Shalika

Sample text

If ρ = ρ0 , the above expression reduces to the identity N (B) = N (b)(n − 1). Reversing the steps and using the uniqueness of the Fourier expansion proves the lemma. 4. Let V be a quadratic extension field of . Let A denote the orthogonal group of the quadratic form N V / . Then the image of the group algebra, L 1 ( A), in the commuting algebra C of the representation D( , V ) is dense. The kernel of the homomorphism L 1 ( A) −→ C is one-dimensional. ) Proof. The proof will be divided into two parts: (A) Decomposition of D( , V ) into irreducible components (B) Classification of those components according to unitary equivalence ˆ 1 , let (L ρ h)(x) = 1 ρ −1 ( )h( x) d .

10 has K-spectrum 1≤m≤n n µ(2m, 2n); 9. cls December 6, 2003 10:10 theta-10 43 10. 10 is the direct summand of Aq(0) containing µ(2, 2); equivalently it is the tempered summand of this representation; 11. 10 is tempered, has infinitesimal character χ (1, 0) and wave-front set O [17]. 10 is unitary, tempered, and has Gelfand-Kirillov dimension 2 (cf. [35]). 2. There is an outer automorphism of Sp(4, R) that takes 10 to its contragredient ∗10 . There is no intrinsic way to choose one of these two representations.

Also consider the symplectic similitude group G Sp(2n). This has center Z G m and the adjoint group G Sp(2n)/Z is isomorphic to P Sp(2n). Furthermore the set of real points of the adjoint group is isomorphic to G Sp(2n, R)/Z (R). So the notation P G Sp(2n, R) is unambiguous, and perhaps for this reason some authors prefer to use this group. Simliar remarks hold over any local field. 4. Θ10 . We give a number of descriptions of see Section 3. 10 . 1. There is a unique irreducible representation 10 of Sp(4, R) satisfying the following equivalent conditions: c 1.

Download PDF sample

Rated 4.95 of 5 – based on 33 votes