Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups - 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 Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups write by Matthew J. Emerton. This book was released on 2017-07-13. Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups available in PDF, EPUB and Kindle. The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various “radii of analyticity”). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader.
Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups
Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups - 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 Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups write by Matthew Emerton. This book was released on 2017. Locally Analytic Vectors in Representations of Locally P-adic Analytic Groups available in PDF, EPUB and Kindle. The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various "radii of analyticity"). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader
p-adic Banach Space Representations
p-adic Banach Space Representations - 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 p-adic Banach Space Representations write by Dubravka Ban. This book was released on 2023-02-11. p-adic Banach Space Representations available in PDF, EPUB and Kindle. This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.
Automorphic Forms and Galois Representations
Automorphic Forms and Galois Representations - 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 Galois Representations write by Fred Diamond. This book was released on 2014-10-16. Automorphic Forms and Galois Representations available in PDF, EPUB and Kindle. Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
Automorphic Forms and Galois Representations: Volume 1
Automorphic Forms and Galois Representations: Volume 1 - 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 Galois Representations: Volume 1 write by Fred Diamond. This book was released on 2014-10-16. Automorphic Forms and Galois Representations: Volume 1 available in PDF, EPUB and Kindle. Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.
