Author: R. M. GuralnickPublisher: American Mathematical Society
ISBN: 1470470527
Category : Mathematics
Languages : en
Pages : 316
Book Description
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Generic Stabilizers in Actions of Simple Algebraic Groups
Author: R. M. GuralnickPublisher: American Mathematical Society
ISBN: 1470470527
Category : Mathematics
Languages : en
Pages : 316
Book Description
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Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras
Author: Alcides BussPublisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100
Book Description
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The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$
Author: C. BleakPublisher: American Mathematical Society
ISBN: 1470471450
Category : Mathematics
Languages : en
Pages : 108
Book Description
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Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems
Author: Myoungjean BaePublisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252
Book Description
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The Notre Dame Lectures
Author: Peter CholakPublisher: Cambridge University Press
ISBN: 1108659934
Category : Mathematics
Languages : en
Pages : 195
Book Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In the fall of 2000, the logic community at the University of Notre Dame, Indiana hosted Greg Hjorth, Rodney G. Downey, Zoé Chatzidakis and Paola D'Aquino as visiting lecturers. Each of them presented a month-long series of expository lectures at the graduate level. This volume, the eighteenth publication in the Lecture Notes in Logic series, contains refined and expanded versions of those lectures. The four articles are entitled 'Countable models and the theory of Borel equivalence relations', 'Model theory of difference fields', 'Some computability-theoretic aspects of reals and randomness' and 'Weak fragments of Peano arithmetic'.
Selected Papers on Harmonic Analysis, Groups, and Invariants
Author: Katsumi NomizuPublisher: American Mathematical Soc.
ISBN: 9780821808405
Category : Mathematics
Languages : en
Pages : 160
Book Description
The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.
Homogeneous Spaces and Equivariant Embeddings
Author: D.A. TimashevPublisher: Springer Science & Business Media
ISBN: 3642183999
Category : Mathematics
Languages : en
Pages : 267
Book Description
Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.
Representations of Algebraic Groups
Author: Jens Carsten JantzenPublisher: American Mathematical Soc.
ISBN: 082184377X
Category : Mathematics
Languages : en
Pages : 594
Book Description
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
Author: A. Bialynicki-BirulaPublisher: Springer Science & Business Media
ISBN: 3662050714
Category : Mathematics
Languages : en
Pages : 248
Book Description
This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.
Group Actions in Ergodic Theory, Geometry, and Topology
Author: Robert J. ZimmerPublisher: University of Chicago Press
ISBN: 022656813X
Category : Mathematics
Languages : en
Pages : 724
Book Description
Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.