Categorical Homological And Combinatorial Methods In Algebra

Author : Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio
Publisher : American Mathematical Soc.
Page : 357 pages
File Size : 49,9 Mb
Release : 2020-06-23
Category : Education
ISBN : 9781470443689

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Categorical, Homological and Combinatorial Methods in Algebra by Ashish K. Srivastava,André Leroy,Ivo Herzog,Pedro A. Guil Asensio Pdf

This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Author : American Mathematical Society. Sectional meeting,Ashish K. Srivastava
Publisher : Unknown
Page : 370 pages
File Size : 40,7 Mb
Release : 2020
Category : Algebra, Homological
ISBN : 1470456087

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Categorical, Homological and Combinatorial Methods in Algebra by American Mathematical Society. Sectional meeting,Ashish K. Srivastava Pdf

This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16-18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Author : A. Leroy,S. K. Jain
Publisher : American Mathematical Society
Page : 270 pages
File Size : 40,9 Mb
Release : 2023-05-01
Category : Mathematics
ISBN : 9781470468590

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Algebra and Coding Theory by A. Leroy,S. K. Jain Pdf

This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5–7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Université d'Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects.

Author : William Lawvere,P. J. Hilton,I. S. Pressman,Murray Gerstenhaber,Daniel Quillen,Richard G. Swan,John Stallings,Larry Smith,Peter Freyd,J. L. Verdier,F. T. Farrel,W. C. Hsiang,B. Mazur,Michael André
Publisher : Unknown
Page : 231 pages
File Size : 51,5 Mb
Release : 1970
Category : Algebra, Homological
ISBN : LCCN:72089866

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Applications of Categorical Algebra by William Lawvere,P. J. Hilton,I. S. Pressman,Murray Gerstenhaber,Daniel Quillen,Richard G. Swan,John Stallings,Larry Smith,Peter Freyd,J. L. Verdier,F. T. Farrel,W. C. Hsiang,B. Mazur,Michael André Pdf

Author : Nicholas R. Baeth,Thiago H. Freitas,Graham J. Leuschke,Victor H. Jorge Pérez
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 41,7 Mb
Release : 2021-10-06
Category : Education
ISBN : 9781470456016

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Commutative Algebra: 150 Years with Roger and Sylvia Wiegand by Nicholas R. Baeth,Thiago H. Freitas,Graham J. Leuschke,Victor H. Jorge Pérez Pdf

This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14–15, 2019, at the University of Wisconsin-Madison, Wisconsin. These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years. Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal Cohen-Macaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields. The volume itself bears evidence that the area of commutative algebra is a vibrant one and highlights the influence of the Wiegands on generations of researchers. It will be useful to researchers and graduate students.

Author : Tyler J. Jarvis,Nathan Priddis
Publisher : American Mathematical Society
Page : 203 pages
File Size : 40,8 Mb
Release : 2021-02-26
Category : Mathematics
ISBN : 9781470457006

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Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model by Tyler J. Jarvis,Nathan Priddis Pdf

This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model. Most of the expository works are based on introductory lecture series given at the workshop and provide an approachable introduction for graduate students to some fundamental topics in mirror symmetry and singularity theory, including quasimaps, localization, the gauged linear sigma model (GLSM), virtual classes, cosection localization, $p$-fields, and Saito's primitive forms. These articles help readers bridge the gap from the standard graduate curriculum in algebraic geometry to exciting cutting-edge research in the field. The volume also contains several research articles by leading researchers, showcasing new developments in the field.

Author : Jan Šťovíček,Jan Trlifaj
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 43,7 Mb
Release : 2020-11-13
Category : Education
ISBN : 9781470451318

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Representation Theory and Beyond by Jan Šťovíček,Jan Trlifaj Pdf

This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.

Author : Omayra Ortega,Emille Davie Lawrence,Edray Herber Goins
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 42,9 Mb
Release : 2020-12-10
Category : Education
ISBN : 9781470451301

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The Golden Anniversary Celebration of the National Association of Mathematicians by Omayra Ortega,Emille Davie Lawrence,Edray Herber Goins Pdf

This volume is put together by the National Association of Mathematicians to commemorate its 50th anniversary. The articles in the book are based on lectures presented at several events at the Joint Mathematics Meeting held from January 16–19, 2019, in Baltimore, Maryland, including the Claytor-Woodard Lecture as well as the NAM David Harold Blackwell Lecture, which was held on August 2, 2019, in Cincinnati, Ohio.

Author : Gabriel Cunningham,Mark Mixer,Egon Schulte
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 44,8 Mb
Release : 2021-04-06
Category : Education
ISBN : 9781470448974

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Polytopes and Discrete Geometry by Gabriel Cunningham,Mark Mixer,Egon Schulte Pdf

The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C C-groups; hypertopes; and graph coloring.

Author : Kaïs Ammari,Stéphane Gerbi
Publisher : American Mathematical Soc.
Page : 185 pages
File Size : 44,6 Mb
Release : 2020-11-12
Category : Education
ISBN : 9781470455477

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Identification and Control: Some New Challenges by Kaïs Ammari,Stéphane Gerbi Pdf

This volume contains the proceedings of the Summer School on Identification and Control: some challenges, held from June 18–20, 2019, in Monastir, Tunisia. The articles cover new developments in control theory and inverse problems. First, the problem of Calderón, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg-Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.

Author : Susanne C. Brenner,Igor E. Shparlinski,Chi-Wang Shu,Daniel Szyld
Publisher : American Mathematical Soc.
Page : 364 pages
File Size : 42,5 Mb
Release : 2020-07-29
Category : Education
ISBN : 9781470451639

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75 Years of Mathematics of Computation by Susanne C. Brenner,Igor E. Shparlinski,Chi-Wang Shu,Daniel Szyld Pdf

The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.

Author : Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 53,5 Mb
Release : 2021-04-23
Category : Education
ISBN : 9781470453275

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Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez Pdf

Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Author : Alex Heller
Publisher : American Mathematical Soc.
Page : 239 pages
File Size : 41,6 Mb
Release : 1970
Category : Mathematics
ISBN : 9780821814178

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Applications of Categorical Algebra by Alex Heller Pdf

This volume presents the proceedings of the Symposium in Pure Mathematics held in New York City on April 10-11, 1968. The organizing committee felt that it was appropriate to devote attention to the applications of categorical algebra rather than to its autonomous development. It was explicit problems in topology and algebra which led to the engendering of category theory, and the applications continue to be numerous and lively. It is hoped the included papers show the diversity of research in categorical algebra.

Author : Marion Scheepers,Ondřej Zindulka
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 42,7 Mb
Release : 2020-09-04
Category : Education
ISBN : 9781470450991

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Centenary of the Borel Conjecture by Marion Scheepers,Ondřej Zindulka Pdf

Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adventure of discovery in mathematics, producing independent results and the discovery of countable support iterated forcing, developments in infinitary game theory, deep connections with infinitary Ramsey Theory, and significant impact on the study of topological groups and topological covering properties. The papers in this volume present a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identify fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean from this collection some of the typical trends in the discovery, innovation, and development of mathematical theories.

Author : Kiyoshi Igusa,Alex Martsinkovsky,Gordana Todorov
Publisher : American Mathematical Soc.
Page : 241 pages
File Size : 46,5 Mb
Release : 2021-05-17
Category : Education
ISBN : 9781470452308

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Representations of Algebras, Geometry and Physics by Kiyoshi Igusa,Alex Martsinkovsky,Gordana Todorov Pdf

This volume contains selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held April 25–30, 2018, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Reflecting recent developments in modern representation theory of algebras, the selected topics include an introduction to a new class of quiver algebras on surfaces, called “geodesic ghor algebras”, a detailed presentation of Feynman categories from a representation-theoretic viewpoint, connections between representations of quivers and the structure theory of Coxeter groups, powerful new applications of approximable triangulated categories, new results on the heart of a t t-structure, and an introduction to methods of constructive category theory.