Geometry and representation theory of real and p-adic groups



Publisher: Birkhäuser in Boston, Mass

Written in English
Cover of: Geometry and representation theory of real and p-adic groups |
Published: Pages: 323 Downloads: 361
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Subjects:

  • Lie groups.,
  • Representations of groups.

Edition Notes

StatementJuan Tirao, David A. Vogan, Jr., Joseph A. Wolf, editors.
SeriesProgress in mathematics ;, v. 158, Progress in mathematics (Boston, Mass.) ;, v. 158.
ContributionsTirao, Juan, 1942-, Vogan, David A., 1954-, Wolf, Joseph Albert, 1936-, Workshop on Representation Theory of Lie Groups and Its Applications (5th : 1995 : Universidad Nacional de Córdoba)
Classifications
LC ClassificationsQA387 .G46 1998
The Physical Object
Paginationx, 323 p. ;
Number of Pages323
ID Numbers
Open LibraryOL689117M
ISBN 100817639314, 3764339314
LC Control Number97036150

  These lectures given in Montreal in Summer are mainly based on, and form a condensed survey of, the book by N. Chriss and V. Ginzburg: `Representation Theory and Complex Geometry', Birkhauser Various algebras arising naturally in Representation Theory such as the group algebra of a Weyl group, the universal enveloping algebra of a complex semisimple Lie algebra, a Quantum group . Browse other questions tagged aic-geometry entation-theory fundamental-group p-adic or ask your own question. Featured on Meta Question closed notifications experiment results and . Books. Nonarchimedean Functional Analysis. Springer Science & Business Media. 20 November ISBN p-adic Lie groups, Grundlehren der mathematischen Wissenschaften, Springer Verlag, ; Modular Representation Theory of Finite Groups. Springer Science & Business Media. 27 November ISBN The representation theory and harmonic analysis on locally compact groups, particularly the groups of rational points of real and p-adic reductive groups. One would like to know how to construct such representations, how to compute their character function, and how .

Andreas Höring and Thomas Peternell – Bimeromorphic geometry of Kähler threefolds Sándor J. Kovács – Moduli of stable log-varieties—an update Andrei Okounkov – Enumerative geometry and geometric representation theory. BibTeX @INPROCEEDINGS{Miličić_equivariantderived, author = {Dragan Miličić and Pavle P}, title = {Equivariant derived categories, Zuckerman functors and localization, Geometry and representation theory of real and p-adic Lie groups}, booktitle = {Progress in Mathematics}, year = {}, pages = { . Publisher Summary. This chapter presents the dimension formula for Siegel modular forms. For general group Γ and representation μ, two main approaches are first is a geometric one that uses Riemann–Roch–Hirzebruch's formula and the holomorphic Lefschetz fixed points formula, when Γ has fixed points. The second is a group-theoretical one that uses Selberg's trace formula. geometry and analysis no 1 volume 17 of the advanced lectures in mathematics series Posted By Catherine Cookson Media TEXT ID e Online PDF Ebook Epub Library advanced study in this book provides an introduction to the theory of harmonic analysis on reductive p adic groups originally published in the lectures on.

Symmetry groups come in many different flavors: finite groups, Lie groups, p-adic groups, loop groups, adelic groups,.. A striking feature of representation theory is the persistence of fundamental structures and unifying themes throughout this great diversity of settings. This is the central result which implies that the same salient features permeate both representation theory of p-adic groups and (categorical) representation theory of loop groups. The goal of this book is to present a systematic and self-contained introduction to the local geometric Langlands Correspondence for loop groups and the related. For continuous homomorphisms, these things are well-known, going between additive and multiplicative structures being failrly straightforward using exp or log on the p-adic or real side. Abstract: This course will focus on recent developments in the spectral theory of automorphic forms on GL(n,R) with n > 2. I will begin by reviewing the basic theory of automorphic forms and L-functions on the upper half plane H^n. A reference is my book: Automorphic forms and L-functions for the group GL(n,R), Cambridge University Press (

Geometry and representation theory of real and p-adic groups Download PDF EPUB FB2

The representation theory of Lie groups plays a central role in both clas­ sical and recent developments in many parts of mathematics and physics. In August,the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in.

The representation theory of Lie groups plays a central role in both clas­ sical and recent developments in many parts of mathematics and physics. In August,the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Cited by: The representation theory of Lie groups plays a central role in both clas­ sical and recent developments in many parts of mathematics and physics.

In August,the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the. ISBN: OCLC Number: Notes: Papers from the Fifth Workshop on Representation Theory of Lie Groups and Its Applications, held Aug.

at the Universidad Nacional de Córdoba in Argentina. The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics.

Rating: (not yet rated) 0 with reviews - Be the first. Representations Of Real And P-adic Groups by Eng-Chye Tan,The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "Representation Theory of Lie Groups" from July to January As part of the program, tutorials for graduate students and junior researchers were given.

The p-adic numbers and more generally local fields have become increasingly important in a wide range of mathematical disciplines.

They are now seen as essential tools in many areas, including number theory, algebraic geometry, group representation theory, the modern theory of automorphic forms, and algebraic topology.

A number of texts have recently become available which. Geometry and Representation Theory of Real and P-Adic Lie Groups by J. Tirao. The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics.

In the case of real groups, the predicted parametrizations of representations was proved by Langlands himself. Unfortunately, most of the deeper relations suggested by the p-adic theory (between real representation theory and geometry on the space of real Langlands parameters) are not true.

INTRODUCTION TO THE THEORY OF ADMISSIBLE REPRESENTATIONS OF p-ADIC REDUCTIVE GROUPS W. CASSELMAN Draft: 1 May Preface This draft of Casselman’s notes was worked over by the S´eminaire Paul Sally in – In addition to. sentation of reductive p-adic groups. The theory of representation of p-adic reductive groups has nowadays attained a mature stage of developments.

A large class of cuspidal representations have been constructed. The local Langlands correspondence is now established in many cases. On the other hand, many deep questions remain open.

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from to The goal of the program was to substantially advance algorithmic and.

Geometry and Representation Theory of real and p-adic groups. Birkhauser, Boston-Basel-Berlin, Version of Ap (postscript file) The orbit method and unitary representations for reductive Lie groups This is an expository paper. Algebraic and Analytic Methods in Representation Theory (Sonderborg, ).

The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of \(p\)-adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.

As a corollary to this, there is a brief discussion of geodesics in Euclidean and hyperbolic planes and non-Euclidean geometry. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society.

Maximum discount of 20% for all commercial channels. This book aims first to prove the local Langlands conjecture for GL n over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the “simple” Shimura varieties.

These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally proving the conjecture first proposed in.

In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual characteristic p (such as Q p).The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge–Tate –Tate representations are related.

This classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since the discovery of D-modules in the early s and the quiver approach to quantum groups in the early s.

Representation Theory Of Finite Groups And Related Topics Representation Theory Of Finite Groups And Related Topics by Irving Reiner. Download it Representation Theory Of Finite Groups And Related Topics books also available in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets.

Click Get Books for free books. Idea. Geometric representation theory studies representations (of various symmetry objects like algebraic groups, Hecke algebras, quantum groups, quivers etc.) realizing them by geometric means, e.g. by geometrically defined actions on sections of various bundles or sheaves as in geometric quantization (see at orbit method), D-modules, perverse sheaves, deformation quantization modules.

Algebraic groups. Regular functions. Algebraic groups as Lie groups. Structure theory. Rational representations. Highest weight theory. The contragredient representation.

Decompositions and multiplicities. Group actions. Section 1 notes. Multiplicity free actions. Borel orbits. Quasi-regular representations. Maximal unipotent subgroups.

~ Best Book P Adic Analysis And Mathematical Physics Series On Soviet And East European Mathematics ~ Uploaded By Frank G. Slaughter, p adic analysis and geometry and representation theory lately p adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new textbook p adic p adic zelenov p adic.

Oxford Mathematician Daniel Gulotta talks about his work on $p$-adic geometry and the Langlands program. "Geometry is one of the more visceral areas of mathematics. Topics covered include the theory of various Fourier-like integral operators such as Segal–Bargmann transforms, Gaussian integral operators in \(L^2\) and in the Fock space, integral operators with theta-kernels, the geometry of real and \(p\)-adic classical groups and symmetric spaces.

for many different applications in various subjects: algebraic groups, finite groups, finite geometry, representation theory over local fields, algebraic geometry, Arakelov intersection for arithmetic va-rieties, algebraic K-theories, combinatorial group theory, global geometry and algebraic topology.

Read 4 answers by scientists with 4 recommendations from their colleagues to the question asked by Rinat Kashaev on Any of the Department's courses on Lie groups, Lie algebras, modular forms, algebraic number theory or representation theory of p-adic groups will provide very useful background, but will not be essential.

I will try to tailor the course to what is most suitable for the audience. Possible references. Algebraic Number Theory, Automorphic Forms, L-Functions and their Special Values, Arithmetic Geometry, Motives, Galois Representations, Analytic Number Theory, Modular Forms Finite Group Theory, Linear Algebraic Groups, Lie Groups & Lie Algebras, Representation Theory of Real, p-Adic and Adelic Groups, Cohomology of Arithmetic Groups.

for finite and infinite dimensional systems were studied by Zelenov [79]. Representation theory of p-adic groups is discussed in [17, 80–82]. An approach to a unified p-adic and real theory of commutation relations is developed by Zelenov [83]. It is based on the interpretation of the group of functions with values in the field of.

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Proposal and Abstract. Upcoming conferences (and courses) in algebraic geometry Here is a list of upcoming conferences, and online seminars and courses, involving algebraic geometry.

For more information, check on google. I intend to keep this list vaguely up to date, but I make no guarantees. Please help me keep this current.Finite Group Representation Theory-Bartel (Contributed by Mohan) Representation Theory-Etingof.

Commutative Algebra-Haines. Geometric Commutative Algebra-Arrondo. Examples in Category Theory-Calugereanu and Purdea.

Topology. Homotopy Theories and Model Categories-Dwyer and Spalinski (Contributed by Elden Elmanto) Algebraic Geometry.Differential Geometry and Lie Groups: A Second Course captures the mathematical theory needed for advanced study in differential geometry with a view to furthering geometry processing capabilities.

Suited to classroom use or independent study, the text will appeal to students and professionals alike.