Algebraic geometry

A group of Gerry Schwarz's colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

The words "e;microdifferential systems in the complex domain"e; refer to seve- ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis.

The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties.

This volume provides a wide-ranging survey of, and many new results on, various important typesof ideal factorization actively investigated by several authors in recent years.

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory.

This volume introduces some recent developments in Arithmetic Geometry over local fields.

The 100+ Series, Geometry, offers in-depth practice and review for challenging middle school math topics such as rotations, reflections, and transformations; congruence and similarity; and sine and cosine functions.

This volume contains the Notes of a seminar on Intersection Ho- logy which met weekly during the Spring 1983 at the University of Bern, Switzerland.

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and Geometric Algebra.

The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups.

This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s.

This book gives a modern presentation of modular operands and their role in string field theory.

This meeting has been motivated by two events: the 85th birthday of Pierre Lelong, and the end of the third year of the European network "e;Complex analysis and analytic geometry"e; from the programme Human Capital and Mobility.

Starting with the end of the seventeenth century, one of the most interesting directions in mathematics (attracting the attention as J.

There are three new appendices, one by Stefan Theisen on the role of Calabi- Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory.

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic.

This is a monograph about non-commutative algebraic geometry, and its application to physics.

It is a pleasure and a privilege to write this new edition of A Primer 0/ Real Ana- lytic Functions.

The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view.

This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S.

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur.

Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K.

Conjunto de conocimientos matemáticos que pueden aplicarse en arquitectura, tanto durante la carrera como en el ejercicio de esa profesión.

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM).

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration.

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric compuation.

This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.

Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings.

Singularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commutative algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences.

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics.

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry.

After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

This book presents a unified mathematical treatment of diverse problems in thegeneral domain of robotics and associated fields using Clifford or geometric alge-bra.