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Facets of Algebraic Geometry
  • Language: en
  • Pages: 395

Facets of Algebraic Geometry

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Representations of Algebras
  • Language: en
  • Pages: 294

Representations of Algebras

Contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held in August 2016, at Syracuse University. This volume includes three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories.

Lectures on Symplectic Geometry
  • Language: en
  • Pages: 240

Lectures on Symplectic Geometry

  • Type: Book
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  • Published: 2004-10-27
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  • Publisher: Springer

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

Combinatorial Commutative Algebra
  • Language: en
  • Pages: 424

Combinatorial Commutative Algebra

Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs

Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
  • Language: en
  • Pages: 296

Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics

This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.

Official Gazette of the United States Patent and Trademark Office
  • Language: en
  • Pages: 980

Official Gazette of the United States Patent and Trademark Office

  • Type: Book
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  • Published: 1998
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  • Publisher: Unknown

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Mod Two Homology and Cohomology
  • Language: en
  • Pages: 539

Mod Two Homology and Cohomology

  • Type: Book
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  • Published: 2015-01-08
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  • Publisher: Springer

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages: 1. It leads more quickly to the essentials of the subject, 2. An absence of signs and orientation considerations simplifies the theory, 3. Computations and advanced applications can be presented at an earlier stage, 4. Simple geometrical interpretations of (co)chains. Mod 2 (co)homology was developed in the first quarter of the twentieth century as an alternative to integral homology, before both became particular cases of (co)homology with arbitrary coefficients. Th...

Connections in Discrete Mathematics
  • Language: en
  • Pages: 367

Connections in Discrete Mathematics

Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.

Facets of Algebraic Geometry: Volume 1
  • Language: en
  • Pages: 418

Facets of Algebraic Geometry: Volume 1

Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.