ISBN: 978-1-4704-3096-2
Series, Volume: Graduate Studies in Mathematics, Volume 192
Bibliographic Information: Published: 23 July 2018; Copyright Year: 2018;
Pages: 224; Hardcover
Subject Classification : Differential Equations
Supplementary Text
Graduate students and researchers interested in incompressible Navier-Stokes equations.
This book is a graduate text on the incompressible Navier-Stokes system, which is
of fundamental importance in mathematical fluid mechanics as well as in engineering applications.
The goal is to give a rapid exposition on the existence, uniqueness, and regularity
of its solutions, with a focus on the regularity problem. To fit into a one-year course for students
who have already mastered the basics of PDE theory, many auxiliary results have been
described with references but without proofs, and several topics were omitted. Most chapters
end with a selection of problems for the reader.
After an introduction and a careful study of weak, strong, and mild solutions, the reader is
introduced to partial regularity. The coverage of boundary value problems, self-similar solutions,
the uniform L3 class including the celebrated Escauriaza-Seregin-S?verak Theorem, and
axisymmetric flows in later chapters are unique features of this book that are less explored in
other texts.
The book can serve as a textbook for a course, as a self-study source for people who already
know some PDE theory and wish to learn more about Navier-Stokes equations, or as a reference
for some of the important recent developments in the area.
ISBN: 978-1-4704-3780-0
Series, Volume: Mathematical Surveys and Monographs, Volume 232
Bibliographic Information: Published: 9 July 2018; Copyright Year: 2018;
Pages: approximately 212; Hardcover;
Subject Classification : Differential Equations
Supplementary Text
Readership:
Graduate students and researchers interested in PDE, especially in holomorphic linear PDE.
Description:
Why do solutions of linear analytic PDE suddenly break down? What is the source
of these mysterious singularities, and how do they propagate? Is there a mean value property
for harmonic functions in ellipsoids similar to that for balls? Is there a reflection principle for
harmonic functions in higher dimensions similar to the Schwarz reflection principle in the
plane? How far outside of their natural domains can solutions of the Dirichlet problem be
extended? Where do the continued solutions become singular and why?
This book invites graduate students and young analysts to explore these and many other
intriguing questions that lead to beautiful results illustrating a nice interplay between parts of
modern analysis and themes in gphysicalh mathematics of the nineteenth century. To make
the book accessible to a wide audience including students, the authors do not assume
expertise in the theory of holomorphic PDE, and most of the book is accessible to anyone
familiar with multivariable calculus and some basics in complex analysis and differential
equations.
ISBN: 978-1-4704-2911-9
Series, Volume: Contemporary Mathematics, Volume 708
Bibliographic Information: Published: 25 June 2018; Copyright Year: 2018;
Pages: approximately 320; Softcover;
Subject Classification :Geometry and Topology
Graduate students and research mathematicians interested in algebraic topology.
This volume contains the proceedings of the Alpine Algebraic and Applied Topology
Conference, held from August 15?21, 2016, in Saas-Almagell, Switzerland.
The papers cover a broad range of topics in modern algebraic topology, including the theory
of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy
theory, algebraic K -theory and topological cyclic, periodic, or Hochschild homology, intersection
cohomology, and symplectic topology.
A publication of Hindustan Book Agency.
ISBN: 978-93-86279-70-5
Bibliographic Information: Published: 13 May 2018; Copyright Year: 2018;
Pages: 325; Hardcover;
Subject Classification Geometry and Topology
Flag varieties are important geometric objects. Because of their richness in geometry,
combinatorics, and representation theory, flag varieties may be described as an interplay of all
three of these fields.
This book gives a detailed account of this interplay. In the area of representation theory, the
book presents a discussion on the representation theory of complex semisimple Lie algebras as
well as the representation theory of semisimple algebraic groups; in addition, the representation
theory of symmetric groups is also discussed. In the area of algebraic geometry, the book
gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties.
Because of the root system connections, many of the geometric results admit elegant
combinatorial description, a typical example being the description of the singular locus of a
Schubert variety. This discussion is carried out as a consequence of standard monomial theory
(abbreviated SMT). Thus, the book includes SMT and some important applications?singular
loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship
between Schubert varieties and classical invariant theory.
In the second edition, two recent results on Schubert varieties in the Grassmannian have been
added. The first result gives a free resolution of certain Schubert singularities. The second result
is about certain Levi subgroup actions on Schubert varieties in the Grassmannian and derives
some interesting geometric and representation-theoretic consequences.
Information for our distributors: A publication of Hindustan Book Agency; distributed within
the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial
channels.
ISBN: 978-3-03719-185-9
Series, Volume: EMS Series of Lectures in Mathematics, Volume 29
Bibliographic Information: Published: 15 May 2018; Copyright Year: 2018;
Pages: 369; Softcover; List Price: US$58; Itemcode:
Subject Classification : Algebra and Algebraic Geometry
Graduate students and researchers interested in group theory.
The book contains extended versions of seven short lecture courses given during a
semester programme on Local Representation Theory and Simple Groups, held at the Centre
Interfacultaire Bernoulli of the EPF Lausanne. These courses focused on modular representation
theory of finite groups, modern Clifford theoretic methods, the representation theory of
finite reductive groups, as well as on various applications of character theory and representation
theory, for example, to base sizes and to random walks.
These lectures are intended to form a good starting point for graduate students and researchers
who wish to familiarize themselves with the foundations of the topics covered here.
Furthermore, they give an introduction to current research directions, including the state of
some open problems in the field.
Information for our distributors: Distributed within the Americas by the American
Mathematical Society. All commercial channel discounts apply.
ISBN: 978-2-85629-850-3
Series, Volume: Panoramas et Syntheses, Number 53
Bibliographic Information: Published: 30 April 2018; Copyright Year: 2018;
Pages: 190; Softcover;
Subject Classification : Probability and Statistics
Discrete Mathematics and Combinatorics
Post-graduate students interested in random matrices.
This book provides three accessible panoramas and syntheses on advanced topics in
random matrix theory: (1) local semicircle law for Wigner matrices and applications to eigenvectors
delocalization, rigidity of eigenvalues, and fourth moment theorem; (2) spectrum of
random graphs, recent advances on eigenvalues and eigenvectors, and open problems; and (3)
deformed random matrices and free probability, unified understanding of various asymptotic
phenomena, such as spectral measure description, localization and fluctuations of extremal
eigenvalues, and eigenvectors behavior.
Information for our distributors: A publication of the Societe Mathematique de France,
Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other
countries should be sent to the SMF. AMS individual members receive a 10% discount and
members of the SMF receive a 30% discount from list. No other discounts apply.