Download or read book PGL2 over the p adics Its Representations Spherical Functions and Fourier Analysis written by Allan J. Silberger and published by Springer. This book was released on 2006-11-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book PGL two over the p adics written by Allan Joseph Silberger and published by . This book was released on 1970 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book PGL over the p adics written by and published by . This book was released on 1970 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Period Domains over Finite and p adic Fields written by Jean-François Dat and published by Cambridge University Press. This book was released on 2010-07-08 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, the book also provides a thorough introduction to the basics of period domains, as they appear in the geometric approach to local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and establish many connections to topics in the general area of algebraic groups over finite and local fields. In addition, the end of each section includes remarks on open questions, historical context and references to the literature.
Download or read book PGL 2 Over the P adics written by Allan J. Silberger and published by . This book was released on 1979 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book p Adic Automorphic Forms on Shimura Varieties written by Haruzo Hida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon ical p-adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary p-adic automorphic forms, allocating 10 to 15 years from that point, putting off the intended arithmetic study of Shimura varieties via L-functions and Eisenstein series (for which I visited lAS). Although it took more than 15 years, we now know (at least conjecturally) the exact number of variables for a given G, and it has been shown that this is a universal phenomenon valid for holomorphic automorphic forms on Shimura varieties and also for more general (nonholomorphic) cohomological automorphic forms on automorphic manifolds (in a markedly different way). When I was asked to give a series of lectures in the Automorphic Semester in the year 2000 at the Emile Borel Center (Centre Emile Borel) at the Poincare Institute in Paris, I chose to give an exposition of the theory of p-adic (ordinary) families of such automorphic forms p-adic analytically de pending on their weights, and this book is the outgrowth of the lectures given there.
Download or read book Number Fields and Function Fields Two Parallel Worlds written by Gerard B. M. van der Geer and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives Aimed at graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections
Download or read book Automorphic Forms And Shimura Varieties Of Pgsp 2 written by Yuval Z Flicker and published by World Scientific. This book was released on 2005-08-15 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called “liftings.' This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,≤) in SL(4, ≤). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum.Applications include the study of the decomposition of the cohomology of an associated Shimura variety, thereby linking Galois representations to geometric automorphic representations.To put these results in a general context, the book concludes with a technical introduction to Langlands' program in the area of automorphic representations. It includes a proof of known cases of Artin's conjecture.
Download or read book Mathematical Physics of Quantum Wires and Devices written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph on quantum wires and quantum devices is a companion vol ume to the author's Quantum Chaos and Mesoscopic Systems (Kluwer, Dordrecht, 1997). The goal of this work is to present to the reader the mathematical physics which has arisen in the study of these systems. The course which I have taken in this volume is to juxtapose the current work on the mathematical physics of quantum devices and the details behind the work so that the reader can gain an understanding of the physics, and where possible the open problems which re main in the development of a complete mathematical description of the devices. I have attempted to include sufficient background and references so that the reader can understand the limitations of the current methods and have direction to the original material for the research on the physics of these devices. As in the earlier volume, the monograph is a panoramic survey of the mathe matical physics of quantum wires and devices. Detailed proofs are kept to a min imum, with outlines of the principal steps and references to the primary sources as required. The survey is very broad to give a general development to a variety of problems in quantum devices, not a specialty volume.
Download or read book Harmonic Analysis on Free Groups written by Alessandro Figa-Talamanca and published by CRC Press. This book was released on 2020-11-25 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.
Download or read book The Arithmetic of Hyperbolic 3 Manifolds written by Colin Maclachlan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear and concise way; At present no such text exists
Download or read book Representation Theory and Mathematical Physics written by Jeffrey Adams and published by American Mathematical Soc.. This book was released on 2011-11-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held October 24-27, 2009, at Yale University. Lie groups and their representations play a fundamental role in mathematics, in particular because of connections to geometry, topology, number theory, physics, combinatorics, and many other areas. Representation theory is one of the cornerstones of the Langlands program in number theory, dating to the 1970s. Zuckerman's work on derived functors, the translation principle, and coherent continuation lie at the heart of the modern theory of representations of Lie groups. One of the major unsolved problems in representation theory is that of the unitary dual. The fact that there is, in principle, a finite algorithm for computing the unitary dual relies heavily on Zuckerman's work. In recent years there has been a fruitful interplay between mathematics and physics, in geometric representation theory, string theory, and other areas. New developments on chiral algebras, representation theory of affine Kac-Moody algebras, and the geometric Langlands correspondence are some of the focal points of this volume. Recent developments in the geometric Langlands program point to exciting connections between certain automorphic representations and dual fibrations in geometric mirror symmetry.
Download or read book Spherical Functions on the P adic Group PGI 2 written by Gerrit van Dijk and published by . This book was released on 1969 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1990-12 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Second Conference on Compact Tranformation Groups University of Massachusetts Amherst 1971 written by H. T Ku and published by Springer. This book was released on 2006-11-15 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reports of the Midwest Category Seminar V written by J. W. Gray and published by Springer. This book was released on 2006-11-15 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Manifolds Amsterdam 1970 written by N. H. Kuiper and published by Springer. This book was released on 2006-11-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
