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Sunday, October 18, 2020 | History

2 edition of Arithmetic of the principal series for p-adic SLn. found in the catalog.

Arithmetic of the principal series for p-adic SLn.

Nicholas John Gresham

Arithmetic of the principal series for p-adic SLn.

by Nicholas John Gresham

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  • 19 Currently reading

Published by University of Manchester in Manchester .
Written in English


Edition Notes

Thesis (Ph.D.), - University of Manchester, Department of Mathematics.

ContributionsUniversity of Manchester. Department of Mathematics.
The Physical Object
Pagination52p.
Number of Pages52
ID Numbers
Open LibraryOL16667557M

[Aspects of Mathematics] Caterina Consani Matilde Marcolli - Noncommutative geometry and number theory- Where arithmetic meets geometry and physics ( Verlag Vieweg).pdf. The theory exposed in the present paper is motivated partly by a classical result concerning the categorical representation of sober topological spaces, partly by previous work of the author concerning the categorical representation of arithmetic log schemes, and partly by a certain analogy with p-adic anabelian geometry — an analogy which.

Moreover, it was viewed also as a road to social advancement by the early labor movement and as a goal of having common schools. Mann also suggested that by having schools it would help those students who did not have appropriate discipline in the home. Building a person's character was just as important as reading, writing and arithmetic. %%% -*-BibTeX-*- %%% ===== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "", %%% date = "14 October ", %%% time = " MDT.

Program of the Sessions – Wednesday, January 15 (cont’d.) PM On a wonderful correspondence between () Hilbert series of unitarizable highest weight modules. Preliminary report. Jordan Alexander, Baylor University (VJ). The series are in fact well-defined because the coefficients of f0 = g0 are p-adic units so the coefficients of the hn (z) and gn (z) are p-adic integers. Thus the series converge on the disc. It follows from Strassman’s Theorem that if f is meromorphic on a disc of radius r then there is a polynomial g such that f g is analytic on the disc.


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Arithmetic of the principal series for p-adic SLn by Nicholas John Gresham Download PDF EPUB FB2

Birgit Speh and David A. Vogan Jr., Reducibility of generalized principal series representations, Acta Math. (), no.– MR/BF Let G be a split reductive p-adic group with connected centre.

We show that each Bernstein block in the principal series of G admits a definite geometric structure, namely that of an extended.

Using their p-adic integration technique, they compute explicit formulae for the representation zeta function of almost all of the principal congruence subgroups of SL 3 (o) and SU 3 (D, o), where.

Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions.

They have also been exploited extensively by number theorists for many arithmetic purposes. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field.

So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references. Issuu is a digital publishing platform that makes it simple to publish magazines, catalogs, newspapers, books, and more online.

Easily share your publications and get them in front of Issuu’s. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces.

All meet a high level of exposition. Abstract: In the theory of p-adic modular forms (or more generally p-adic automorphic forms) the phenomenon occurs that there are non-classical and classical forms that have the same system of Hecke-eigenvalues.

This phenomenon has an explanation in terms of. Two teams of undergraduates participated in the Mathematical Contest in Modeling. The team of Andrew Harris, Dante Iozzo, and Nigel Michki was designated as "Meritorious Winner" (top 9%) and the team of George Braun, Collin Olander, and Jonathan Tang received honorable mention (top 31%).

John Ringland served as the faculty advisor to both teams. This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including -invariant, L-invariant, and similar topics.

This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms on Shimura Varieties. Nov 12,  · Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH) Abstract.

Let \(F p-adic numbers, p-adic analysis, and zeta functions, 2nd edn., GTM, vol. Springer, New York Representations of a Weil Group.

In: Drinfeld Moduli Schemes and Automorphic Forms. SpringerBriefs in Mathematics. Springer, New York, NY Author: Yuval Z. Flicker. There is of course a little overlap with the book Lin­ ear Algebra, since I wanted to make the present book self contained.

I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year's course, possibly combining it. One of the most promising ways to understandclassical modular forms and their associated L-function is via study of their p-adic analogue.

Study of p-adicmodular forms was initiated by Serre, later Hida and then Coleman-Mazur constructed p-adic familes of 'nice'modular forms, called Hida family and eigencurve respectively. Dummit and Foote - Abstract Algebra - Free ebook download as PDF File .pdf), Text File .txt) or read book online for free.

Scribd is the world's largest social reading and publishing site. Search Search. Introduction to the Beilinson conjectures Peter Schneider One of the most beautiful formulas in classical algebraic number theory is the analytic class number formula: The Dedekind zeta function of an algebraic number field has a simple pole at s = 1 and its residue is given in terms of the class number and the unit regulator of that maybom247.com by: The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding.

In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a. Full text of "Absolute geometry and the Habiro topology" See other formats Absolute geometry and the Habiro topology Lieven Le Bruyn "One can postulate, of course, that Spec(Fi) is the absolute point, but the real problem is to develop non-trivial consequences of this point of view.".

This banner text can have markup. web; books; video; audio; software; images; Toggle navigation. In earlier work stemming from my thesis, we have also studied therepresentation theory and harmonic analysis of p-adic maybom247.comED PUBLICATIONSGrobner, H., and Raghuram, A.

On the arithmetic of Shalika models and the critical values of L-functions for GL(2n). Algebraic Groups over Locally Compact Fields In Chapter 2 we considered properties of algebraic groups that are determined first and foremost by the group itself, independently of the base field.

In this and subsequent chapters we shall study the effect of properties of. Nov 04,  · ABSTRACT ALGEBRA Third Edition. David S. Dummit. Principal Ideal Domains and Unique Factorization Domains and the inverse limit of the family of groups the p .Two rather difficult chapters, in which mathematical analysis mixes with algebra, are given at the end of the book.

One of them is quite original, showing how simple consideration of ix integral calculus can solve very difficult inequalities. The other discusses properties of equidistribution and dense numerical series/5(10).We study questions in three arithmetic settings, each of which carries aspects of random-like behaviour.

In the setting of arithmetic functions, we establish mild conditions under which the tuple of multiplicative functions [f₁, f₂,f_d ], evaluated at d consecutive integers n+1,n+d, closely approximates points in R^d for a positive proportion of n; we obtain a further.