Trace Formulas PDF Download
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Author | : Steven Lord |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 4197 |
Release | : 2023-04-03 |
Genre | : Mathematics |
ISBN | : 3110700247 |
Download Trace Formulas Book in PDF, ePub and Kindle
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.
Author | : Karl Egil Aubert |
Publisher | : Academic Press |
Total Pages | : 537 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483216233 |
Download Number Theory, Trace Formulas and Discrete Groups Book in PDF, ePub and Kindle
Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 14-21, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo. This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics. This book is organized into three parts encompassing 29 chapters. The first part presents a brief introduction to the history and developments of the zeta-function. The second part contains lectures on Selberg's considerable research studies on understanding the principles of several aspects of mathematics, including in modular forms, the Riemann zeta function, analytic number theory, sieve methods, discrete groups, and trace formula. The third part is devoted to Selberg's further research works on these topics, with particular emphasis on their practical applications. Some of these research studies, including the integral representations of Einstein series and L-functions; first eigenvalue for congruence groups; the zeta function of a Kleinian group; and the Waring's problem are discussed. This book will prove useful to mathematicians, researchers, and students.
Author | : Clay Mathematics Institute. Summer School |
Publisher | : American Mathematical Soc. |
Total Pages | : 708 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780821838440 |
Download Harmonic Analysis, the Trace Formula, and Shimura Varieties Book in PDF, ePub and Kindle
Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.
Author | : |
Publisher | : Cambridge University Press |
Total Pages | : 382 |
Release | : |
Genre | : |
ISBN | : 0521470617 |
Download Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence Book in PDF, ePub and Kindle
Author | : Steven Lord |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 514 |
Release | : 2023-04-03 |
Genre | : Mathematics |
ISBN | : 3110700174 |
Download Trace Formulas Book in PDF, ePub and Kindle
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.
Author | : Werner Müller |
Publisher | : Springer |
Total Pages | : 581 |
Release | : 2016-09-20 |
Genre | : Mathematics |
ISBN | : 3319414240 |
Download Families of Automorphic Forms and the Trace Formula Book in PDF, ePub and Kindle
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
Author | : Stephen S. Gelbart |
Publisher | : American Mathematical Soc. |
Total Pages | : 112 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 0821805711 |
Download Lectures on the Arthur-Selberg Trace Formula Book in PDF, ePub and Kindle
The Arthur-Selberg trace formula is an equality between two kinds of traces: the geometric terms given by the conjugacy classes of a group and the spectral terms given by the induced representations. In general, these terms require a truncation in order to converge, which leads to an equality of truncated kernels. The formulas are difficult in general and even the case of $GL$(2) is nontrivial. The book gives proof of Arthur's trace formula of the 1970s and 1980s, with special attention given to $GL$(2). The problem is that when the truncated terms converge, they are also shown to be polynomial in the truncation variable and expressed as ``weighted'' orbital and ``weighted'' characters. In some important cases the trace formula takes on a simple form over $G$. The author gives some examples of this, and also some examples of Jacquet's relative trace formula. This work offers for the first time a simultaneous treatment of a general group with the case of $GL$(2). It also treats the trace formula with the example of Jacquet's relative formula. Features: Discusses why the terms of the geometric and spectral type must be truncated, and why the resulting truncations are polynomials in the truncation of value $T$. Brings into play the significant tool of ($G, M$) families and how the theory of Paley-Weiner is applied. Explains why the truncation formula reduces to a simple formula involving only the elliptic terms on the geometric sides with the representations appearing cuspidally on the spectral side (applies to Tamagawa numbers). Outlines Jacquet's trace formula and shows how it works for $GL$(2).
Author | : Werner Müller |
Publisher | : Springer Nature |
Total Pages | : 438 |
Release | : 2021-05-18 |
Genre | : Mathematics |
ISBN | : 3030685063 |
Download Relative Trace Formulas Book in PDF, ePub and Kindle
A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur’s trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches.
Author | : Renate A. Schmidt |
Publisher | : Springer |
Total Pages | : 385 |
Release | : 2017-09-04 |
Genre | : Computers |
ISBN | : 3319669028 |
Download Automated Reasoning with Analytic Tableaux and Related Methods Book in PDF, ePub and Kindle
This book contains the proceedings of the 26th International Conference on Automated Reasoning with Analytics Tableaux and Related Methods, TABLEAUX 2017, held in Brasília, Bazil, in September 2017. The 19 contributed papers presented in this volume were carefully reviewed and selected from 27 submissions.They are organized in topical sections named: Sequent systems; tableaux; transitive closure and cyclic proofs; formalization and complexity. Also included are papers of three invited speakers.
Author | : Stephen Christopher Creagh |
Publisher | : |
Total Pages | : 592 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download Geometrical Structure in Semiclassical Trace Formulas Book in PDF, ePub and Kindle