Zeta Integrals Schwartz Spaces And Local Functional Equations
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Zeta Integrals Schwartz Spaces And Local Functional Equations
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Author : Wen-Wei Li
language : en
Publisher: Springer
Release Date : 2018-11-02
Zeta Integrals Schwartz Spaces And Local Functional Equations written by Wen-Wei Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-02 with Mathematics categories.
This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions. Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.
Geometric Aspects Of The Trace Formula
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Author : Werner Müller
language : en
Publisher: Springer
Release Date : 2018-10-11
Geometric Aspects Of The Trace Formula written by Werner Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-11 with Mathematics categories.
The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.
Relative Aspects In Representation Theory Langlands Functoriality And Automorphic Forms
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Author : Volker Heiermann
language : en
Publisher: Springer
Release Date : 2018-10-01
Relative Aspects In Representation Theory Langlands Functoriality And Automorphic Forms written by Volker Heiermann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-01 with Mathematics categories.
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers. Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups. The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.
Symmetry In Geometry And Analysis Volume 3
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Author : Michael Pevzner
language : en
Publisher: Springer Nature
Release Date : 2025-02-10
Symmetry In Geometry And Analysis Volume 3 written by Michael Pevzner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-10 with Mathematics categories.
Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. This third volume of the Festschrift contains original articles on branching problems in representation theory of reductive Lie groups and related topics. Contributions are by Ali Baklouti, Hidenori Fujiwara, Dmitry Gourevitch, Masatoshi Kitagawa, Salma Nasrin, Yoshiki Oshima, and Petr Somberg.
Harmonic Analysis And Gamma Functions On Symplectic Groups
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Author : Dihua Jiang
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-17
Harmonic Analysis And Gamma Functions On Symplectic Groups written by Dihua Jiang and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-17 with Mathematics categories.
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Integral Quadratic Forms And Lattices
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Author : Myung-Hwan Kim
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Integral Quadratic Forms And Lattices written by Myung-Hwan Kim and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This volume presents the proceedings of an international conference held at Seoul National University (Korea). Talks covered recent developments in diverse areas related to the theory of integral quadratic forms and hermitian forms, local densities, linear relations and congruences of theta series, zeta functions of prehomogeneous vector spaces, lattices with maximal finite matrix groups, globally irreducible lattices, Mordell-Weil lattices, and more. Articles in the volume represent expository lectures by leading experts on recent developments in the field. The book offers a comprehensive introduction to the current state of knowledge in the arithmetic theory of quadratic forms and provides active directions of research with new results. Topics addressed in the volume emphasize connections with related fields, such as group theory, arithmetic geometry, analytic number theory, and modular forms. The book is an excellent introductory guide for students as well as a rich reference source for researchers.
An Introduction To The Theory Of Local Zeta Functions
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Author : Jun-ichi Igusa
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
An Introduction To The Theory Of Local Zeta Functions written by Jun-ichi Igusa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book is an introductory presentation to the theory of local zeta functions. Viewed as distributions, and mostly in the archimedean case, local zeta functions are also called complex powers. The volume contains major results on analytic and algebraic properties of complex powers by Atiyah, Bernstein, I. M. Gelfand, S. I. Gelfand, and Sato. Chapters devoted to $p$-adic local zeta functions present Serre's structure theorem, a rationality theorem, and many examples found by the author. The presentation concludes with theorems by Denef and Meuser. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.
P Adic Analysis Arithmetic And Singularities
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Author : Carlos Galindo
language : en
Publisher: American Mathematical Society
Release Date : 2022-05-11
P Adic Analysis Arithmetic And Singularities written by Carlos Galindo and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-11 with Mathematics categories.
This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held from June 24–28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain. The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretical physics, these functions play a central role in the regularization of Feynman amplitudes and Koba-Nielsen-type string amplitudes, among other applications. This volume provides a gentle introduction to a very active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces $p$-adic analysis, the theory of Archimedean, $p$-adic, and motivic zeta functions, singularities of plane curves and their Poincaré series, among other similar topics. It also contains original contributions in the aforementioned areas written by renowned specialists. This book is an important reference for students and experts who want to delve quickly into the area of local zeta functions and their many connections in mathematics and theoretical physics.
Reviews In Number Theory As Printed In Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive
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Author : William Judson LeVeque
language : en
Publisher:
Release Date : 1974
Reviews In Number Theory As Printed In Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive written by William Judson LeVeque and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Ultrametric Pseudodifferential Equations And Applications
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Author : Andreĭ I︠U︡rʹevich Khrennikov
language : en
Publisher: Cambridge University Press
Release Date : 2018-04-26
Ultrametric Pseudodifferential Equations And Applications written by Andreĭ I︠U︡rʹevich Khrennikov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-26 with Mathematics categories.
Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.