Automorphic Forms And Related Geometry Assessing The Legacy Of I I Piatetski Shapiro

Automorphic Forms and Related Geometry  Assessing the Legacy of I I  Piatetski Shapiro PDF
Author: James W. Cogdell
Publisher: American Mathematical Soc.
ISBN: 0821893947
Size: 29.63 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 441
View: 2659

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Automorphic Forms And Related Geometry Assessing The Legacy Of I I Piatetski Shapiro

by James W. Cogdell, Automorphic Forms And Related Geometry Assessing The Legacy Of I I Piatetski Shapiro Books available in PDF, EPUB, Mobi Format. Download Automorphic Forms And Related Geometry Assessing The Legacy Of I I Piatetski Shapiro books, This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.


Advances In The Theory Of Automorphic Forms And Their L Functions

Advances in the Theory of Automorphic Forms and Their  L  functions PDF
Author: Dihua Jiang
Publisher: American Mathematical Soc.
ISBN: 147041709X
Size: 74.12 MB
Format: PDF, Kindle
Category : Automorphic forms
Languages : en
Pages : 376
View: 1991

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Advances In The Theory Of Automorphic Forms And Their L Functions

by Dihua Jiang, Advances In The Theory Of Automorphic Forms And Their L Functions Books available in PDF, EPUB, Mobi Format. Download Advances In The Theory Of Automorphic Forms And Their L Functions books, This volume contains the proceedings of the workshop on “Advances in the Theory of Automorphic Forms and Their L-functions” held in honor of James Cogdell's 60th birthday, held from October 16–25, 2013, at the Erwin Schrödinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of p-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, L-functions for classical groups, special values of L-functions, Howe duality, subconvexity for L-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on L-functions, nodal sets and geometry.


Geometry And Analysis Of Automorphic Forms Of Several Variables

Geometry and Analysis of Automorphic Forms of Several Variables PDF
Author: Yoshinori Hamahata
Publisher: World Scientific
ISBN: 9814355607
Size: 40.54 MB
Format: PDF, Docs
Category : Automorphic forms
Languages : en
Pages : 388
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Geometry And Analysis Of Automorphic Forms Of Several Variables

by Yoshinori Hamahata, Geometry And Analysis Of Automorphic Forms Of Several Variables Books available in PDF, EPUB, Mobi Format. Download Geometry And Analysis Of Automorphic Forms Of Several Variables books, This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda''s 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.


Automorphic Forms And L Functions Global Aspects

Automorphic Forms and L functions  Global aspects PDF
Author: Stephen S. Gelbart
Publisher: American Mathematical Soc.
ISBN: 0821847066
Size: 80.34 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 285
View: 4532

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Automorphic Forms And L Functions Global Aspects

by Stephen S. Gelbart, Automorphic Forms And L Functions Global Aspects Books available in PDF, EPUB, Mobi Format. Download Automorphic Forms And L Functions Global Aspects books, This book is the first of two volumes, which represent leading themes of current research in automorphic forms and representation theory of reductive groups over local fields. Articles in this volume mainly represent global aspects of automorphic forms. Among the topics are the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions. The articles are written by leading researchers in the field, and bring the reader, advanced graduate students and researchers alike, to the frontline of the vigorous research in these deep, vital topics. The companion volume (""Contemporary Mathematics, Volume 489"") is devoted to local aspects of automorphic forms.


Automorphic Representations L Functions And Applications Progress And Prospects

Automorphic Representations  L Functions and Applications  Progress and Prospects PDF
Author: James W. Cogdell
Publisher: Walter de Gruyter
ISBN: 3110892707
Size: 12.34 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 438
View: 3640

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Automorphic Representations L Functions And Applications Progress And Prospects

by James W. Cogdell, Automorphic Representations L Functions And Applications Progress And Prospects Books available in PDF, EPUB, Mobi Format. Download Automorphic Representations L Functions And Applications Progress And Prospects books, This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.


Six Short Chapters On Automorphic Forms And L Functions

Six Short Chapters on Automorphic Forms and L functions PDF
Author: Ze-Li Dou
Publisher: Springer Science & Business Media
ISBN: 3642287085
Size: 17.83 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 123
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Six Short Chapters On Automorphic Forms And L Functions

by Ze-Li Dou, Six Short Chapters On Automorphic Forms And L Functions Books available in PDF, EPUB, Mobi Format. Download Six Short Chapters On Automorphic Forms And L Functions books, "Six Short Chapters on Automorphic Forms and L-functions" treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.


Automorphic Forms Representations And L Functions

Automorphic Forms  Representations and  L  Functions PDF
Author: Armand Borel
Publisher: American Mathematical Soc.
ISBN: 0821814370
Size: 10.58 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 382
View: 4150

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Automorphic Forms Representations And L Functions

by Armand Borel, Automorphic Forms Representations And L Functions Books available in PDF, EPUB, Mobi Format. Download Automorphic Forms Representations And L Functions books, Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions


On Certain L Functions

On Certain L functions PDF
Author: James Arthur
Publisher: American Mathematical Soc.
ISBN: 0821852043
Size: 22.20 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 647
View: 1487

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On Certain L Functions

by James Arthur, On Certain L Functions Books available in PDF, EPUB, Mobi Format. Download On Certain L Functions books, This volume constitutes the proceedings of a conference, ``On Certain $L$-functions'', held July 23-27, 2007 at Purdue University, West Lafayette, Indiana. The conference was organized in honor of the 60th birthday of Freydoon Shahidi, widely recognized as having made groundbreaking contributions to the Langlands program. The articles in this volume represent a snapshot of the state of the field from several viewpoints. Contributions illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their $L$-functions, and both local and global theory are addressed. Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of $p$-adic groups, Plancherel formula and its consequences, the Gross-Prasad conjecture, and more. The volume also includes an expository article on Shahidi's contributions to the field, which serves as an introduction to the subject. Experts will find this book a useful reference, and beginning researchers will be able to use it to survey major results in the Langlands program.