Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

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Release : 2014-04-01
Genre : Mathematics
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Book Rating : 947/5 ( reviews)

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro write by James W. Cogdell. This book was released on 2014-04-01. Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro available in PDF, EPUB and Kindle. 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.

Automorphic Forms and Related Geometry

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Release : 2014
Genre : Automorphic forms
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Book Rating : 584/5 ( reviews)

Automorphic Forms and Related Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphic Forms and Related Geometry write by James W. Cogdell. This book was released on 2014. Automorphic Forms and Related Geometry available in PDF, EPUB and Kindle.

Advances in the Theory of Automorphic Forms and Their $L$-functions

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Release : 2016-04-29
Genre : Mathematics
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Book Rating : 09X/5 ( reviews)

Advances in the Theory of Automorphic Forms and Their $L$-functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in the Theory of Automorphic Forms and Their $L$-functions write by Dihua Jiang. This book was released on 2016-04-29. Advances in the Theory of Automorphic Forms and Their $L$-functions available in PDF, EPUB and Kindle. 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.

Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms

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Release : 2018-10-01
Genre : Mathematics
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Book Rating : 315/5 ( reviews)

Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms write by Volker Heiermann. This book was released on 2018-10-01. Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms available in PDF, EPUB and Kindle. 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.

Geometric Aspects of the Trace Formula

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Release : 2018-10-11
Genre : Mathematics
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Book Rating : 334/5 ( reviews)

Geometric Aspects of the Trace Formula - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Aspects of the Trace Formula write by Werner Müller. This book was released on 2018-10-11. Geometric Aspects of the Trace Formula available in PDF, EPUB and Kindle. 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.