This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional... ]]>

Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras \(R_q[G]\) on simple algebraic groups in terms of... ]]>

Let \(\zeta\) be a complex \(\ell\)th root of unity for an odd integer \(\ell>1\). For any complex simple Lie algebra \(\mathfrak g\), let... ]]>

The authors study the following singularly perturbed problem: \(-\epsilon^2\Delta u+V(x)u = f(u)\) in \(\mathbf{R}^N\). Their main result is the... ]]>

The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to... ]]>

The authors investigate the global continuity on \(L^p\) spaces with \(p\in [1,\infty]\) of Fourier integral operators with smooth and rough amplitudes... ]]>

The fame of the Polish school at Lvov rests with the diverse and fundamental contributions of Polish mathematicians working there during the interwar... ]]>

The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on... ]]>

From the earliest days of measure theory, invariant measures have held the interests of geometers and analysts alike, with the Haar measure playing an... ]]>

This book is a collection of expository articles based on four lecture series presented during the 2012 Notre Dame Summer School in Topology and Field... ]]>

This volume contains the proceedings of the International Conference on Group Theory, Combinatorics and Computing held from October 3-8, 2012, in Boca... ]]>

A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs... ]]>

For a finite real reflection group \(W\) and a \(W\)-orbit \(\mathcal{O}\) of flats in its reflection arrangement--or equivalently a conjugacy class of... ]]>

The author considers the \(3\)-dimensional gravitational \(n\)-body problem, \(n\ge 2\), in spaces of constant Gaussian curvature \(\kappa\ne 0\), i.e.... ]]>

For a Markov chain \(\{X_j\}\) with general state space \(S\) and \({f:S\rightarrow\mathbf{R}^d}\), the large deviation principle for... ]]>

The authors consider the Schrödinger Map equation in \(2+1\) dimensions, with values into \(\mathbb{S}^2\). This admits a lowest energy steady... ]]>

This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15,... ]]>

This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor... ]]>

This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics... ]]>

The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in... ]]>

This volume contains the proceedings of an NSF/Conference Board of the Mathematical Sciences (CBMS) regional conference on Hodge theory, complex... ]]>

Cluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual... ]]>

The question addressed in this monograph is the relationship between the time-reversible Newton dynamics for a system of particles interacting via... ]]>

This book is devoted to the proof of a deep theorem in arithmetic geometry, the Fekete-Szegö theorem with local rationality conditions. The... ]]>

The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of... ]]>

This volume presents a collection of articles devoted to representations of algebras and related topics. Dististinguished experts in this field... ]]>

This book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a... ]]>

The European Congress of Mathematics, held every four years, has become a well-established major international mathematical event. Following those in... ]]>

The author defines the specialization and microlocalization functors for subanalytic sheaves. Applying these tools to the sheaves of tempered and... ]]>

Since the end of the 19th century, we have known that each birational map of the complex projective plane is the product of a finite number of... ]]>

This manuscript complements the Hirsch-Pugh-Shub (HPS) theory on persistence of normally hyperbolic laminations and implies several structural... ]]>

The authors consider the one-dimensional generalized forest fire process: at each site of \(\mathbb{Z}\), seeds and matches fall according to i.i.d.... ]]>

This memoir deals with the dynamics of diffeomorphisms of compact manifolds. For the study of generic properties or for the construction of examples,... ]]>