Algebra Algebraic Topology And Their Interactions

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Algebra Algebraic Topology And Their Interactions

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Author : Jan-Erik Roos
language : en
Publisher:
Release Date : 2014-09-01

Algebra Algebraic Topology And Their Interactions written by Jan-Erik Roos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.

Algebra Algebraic Topology And Their Interactions

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Author : Jan-Erik Roos
language : en
Publisher: Springer
Release Date : 2006-11-14

Algebra Algebraic Topology And Their Interactions written by Jan-Erik Roos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Singularities And Their Interaction With Geometry And Low Dimensional Topology

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Author : Javier Fernández de Bobadilla
language : en
Publisher: Springer Nature
Release Date : 2021-05-27

Singularities And Their Interaction With Geometry And Low Dimensional Topology written by Javier Fernández de Bobadilla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-27 with Mathematics categories.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.

Extended Abstracts Spring 2015

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Author : Dolors Herbera
language : en
Publisher: Birkhäuser
Release Date : 2016-11-30

Extended Abstracts Spring 2015 written by Dolors Herbera and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-30 with Mathematics categories.

This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory" and "Brave New Algebra: Opening Perspectives," and the conference "Opening Perspectives in Algebra, Representations, and Topology," held at the Centre de Recerca Matemàtica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest developments in the area. It appeals to established researchers as well as PhD and postdoctoral students who want to learn more about the latest advances in these highly active fields of research.

Stacks And Categories In Geometry Topology And Algebra

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Author : Tony Pantev
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-06-26

Stacks And Categories In Geometry Topology And Algebra written by Tony Pantev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.

This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.

Topology Geometry And Algebra

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Author : Alejandro Adem
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Topology Geometry And Algebra written by Alejandro Adem and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This volume presents the proceedings from the conference on ''Topology, Geometry, and Algebra: Interactions and New Directions'' held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications. Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgerytheory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas.

Buchsbaum Rings And Applications

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Author : Jürgen Stückrad
language : en
Publisher: Springer
Release Date : 2014-08-23

Buchsbaum Rings And Applications written by Jürgen Stückrad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-23 with Mathematics categories.

Da die algebraische Geometrie wesentlich vom Fundamentalsatz der Algebra ausgeht, den man nur deshalb in der gewohnten aUgemeinen Form aussprechen kann, weil man dabei die Vielfachheit der Losungen in Betracht zieht, so mull man auch bei jedem Resultat der algebra is chen Geometrie beim Zuriickschreiten die gemeinsame QueUe wiederfinden. Das ware aber nicht mehr moglich, wenn man auf dem Wege das Werkzeug verlore, welches den Fundamentalsatz fruchtbar uud bedeutungsreich macht. Francesco Severi Abh. Math. Sem. Hansischen Univ. 15 (1943), p. 100 This book describes interactions between algebraic geometry, commutative and homo logical algebra, algebraic topology and combinatorics. The main object of study are Buchsbaum rings. The basic underlying idea of a Buchsbaum ring is a continuation of the well-known concept of a Cohen-Macaulay ring, its necessity being created by open questions of algebraic geometry and algebraic topology. The theory of Buchsbaum rings started from a negative answer to a problem of David A. Buchsbaum. The concept of this theory was introduced in our joint paper published in 1973.

Algebra Geometry And Their Interactions

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Author : Alberto Corso
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Algebra Geometry And Their Interactions written by Alberto Corso and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

Stacks And Categories In Geometry Topology And Algebra

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Author : Tony Pantev
language : en
Publisher:
Release Date : 2015

Stacks And Categories In Geometry Topology And Algebra written by Tony Pantev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Algebra categories.

This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way

Topology Geometry And Algebra Interactions And New Directions

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Author : Alejandro Adem
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Topology Geometry And Algebra Interactions And New Directions written by Alejandro Adem and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This volume presents the proceedings from the conference on ``Topology, Geometry, and Algebra: Interactions and New Directions'' held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications. Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgerytheory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas.