An Alpine Expedition Through Algebraic Topology

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An Alpine Expedition through Algebraic Topology

Author : Christian Ausoni
Publisher : American Mathematical Soc.
ISBN 13 : 0821891456
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis An Alpine Expedition through Algebraic Topology by : Christian Ausoni

Download or read book An Alpine Expedition through Algebraic Topology written by Christian Ausoni and published by American Mathematical Soc.. This book was released on 2014-06-09 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.

An Alpine Bouquet of Algebraic Topology

Author : Jérôme Scherer
Publisher : American Mathematical Soc.
ISBN 13 : 147042911X
Total Pages : 308 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Alpine Bouquet of Algebraic Topology by : Jérôme Scherer

Download or read book An Alpine Bouquet of Algebraic Topology written by Jérôme Scherer and published by American Mathematical Soc.. This book was released on 2018-05-30 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held from August 15–21, 2016, in Saas-Almagell, Switzerland. The papers cover a broad range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic -theory and topological cyclic, periodic, or Hochschild homology, intersection cohomology, and symplectic topology.

Alpine Perspectives on Algebraic Topology

Author : Christian Ausoni
Publisher : American Mathematical Soc.
ISBN 13 : 0821848399
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Alpine Perspectives on Algebraic Topology by : Christian Ausoni

Download or read book Alpine Perspectives on Algebraic Topology written by Christian Ausoni and published by American Mathematical Soc.. This book was released on 2009 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.

Stacks and Categories in Geometry, Topology, and Algebra

Author : Tony Pantev
Publisher : American Mathematical Soc.
ISBN 13 : 1470415577
Total Pages : 323 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Stacks and Categories in Geometry, Topology, and Algebra by : Tony Pantev

Download or read book Stacks and Categories in Geometry, Topology, and Algebra written by Tony Pantev and published by American Mathematical Soc.. This book was released on 2015-06-26 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Building Bridges Between Algebra and Topology

Author : Wojciech Chachólski
Publisher : Birkhäuser
ISBN 13 : 3319701576
Total Pages : 225 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Building Bridges Between Algebra and Topology by : Wojciech Chachólski

Download or read book Building Bridges Between Algebra and Topology written by Wojciech Chachólski and published by Birkhäuser. This book was released on 2018-03-31 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous area; it is both an active field of research and a widespread toolbox for many mathematicians. Together, these notes introduce recent applications and interactions of homological methods in commutative algebra, representation theory and topology, narrowing the gap between specialists from different areas wishing to acquaint themselves with a rapidly growing field. The covered topics range from a fresh introduction to the growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical concepts in commutative algebra. Moreover, they also include a higher categories view of Hall algebras and an introduction to the use of idempotent functors in algebra and topology.

Geometric and Topological Aspects of the Representation Theory of Finite Groups

Author : Jon F. Carlson
Publisher : Springer
ISBN 13 : 3319940333
Total Pages : 493 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Geometric and Topological Aspects of the Representation Theory of Finite Groups by : Jon F. Carlson

Download or read book Geometric and Topological Aspects of the Representation Theory of Finite Groups written by Jon F. Carlson and published by Springer. This book was released on 2018-10-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.

Lectures on Field Theory and Topology

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed

Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

A Handbook of Model Categories

Author : Scott Balchin
Publisher : Springer Nature
ISBN 13 : 3030750353
Total Pages : 326 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis A Handbook of Model Categories by : Scott Balchin

Download or read book A Handbook of Model Categories written by Scott Balchin and published by Springer Nature. This book was released on 2021-10-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.

Spectral Theory and Partial Differential Equations

Author : James V Ralston
Publisher : American Mathematical Soc.
ISBN 13 : 1470409895
Total Pages : 210 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Spectral Theory and Partial Differential Equations by : James V Ralston

Download or read book Spectral Theory and Partial Differential Equations written by James V Ralston and published by American Mathematical Soc.. This book was released on 2015 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the Conference on Spectral Theory and Partial Differential Equations, held in honor of James Ralston's 70th Birthday. Papers cover important topics in spectral theory and partial differential equations such as inverse problems, both analytical and algebraic; minimal partitions and Pleijel's Theorem; spectral theory for a model in Quantum Field Theory; and beams on Zoll manifolds.

Algorithmic Arithmetic, Geometry, and Coding Theory

Author : Stéphane Ballet
Publisher : American Mathematical Soc.
ISBN 13 : 1470414619
Total Pages : 316 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algorithmic Arithmetic, Geometry, and Coding Theory by : Stéphane Ballet

Download or read book Algorithmic Arithmetic, Geometry, and Coding Theory written by Stéphane Ballet and published by American Mathematical Soc.. This book was released on 2015-04-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3-7, 2013, at CIRM, Marseille, France. These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky-Washnitzer cohomology, and -functions of modular forms.

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography

Author : Delaram Kahrobaei
Publisher : American Mathematical Soc.
ISBN 13 : 0821898590
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography by : Delaram Kahrobaei

Download or read book Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography written by Delaram Kahrobaei and published by American Mathematical Soc.. This book was released on 2015-02-25 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

Geometry, Groups and Dynamics

Author : C. S. Aravinda
Publisher : American Mathematical Soc.
ISBN 13 : 0821898825
Total Pages : 386 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometry, Groups and Dynamics by : C. S. Aravinda

Download or read book Geometry, Groups and Dynamics written by C. S. Aravinda and published by American Mathematical Soc.. This book was released on 2015-05-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the ICTS Program: Groups, Geometry and Dynamics, held December 3-16, 2012, at CEMS, Almora, India. The activity was an academic tribute to Ravi S. Kulkarni on his turning seventy. Articles included in this volume, both introductory and advanced surveys, represent the broad area of geometry that encompasses a large portion of group theory (finite or otherwise) and dynamics in its proximity. These areas have been influenced by Kulkarni's ideas and are closely related to his work and contribution.

Analysis, Complex Geometry, and Mathematical Physics

Author : Paul M. N. Feehan
Publisher : American Mathematical Soc.
ISBN 13 : 1470414643
Total Pages : 359 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Analysis, Complex Geometry, and Mathematical Physics by : Paul M. N. Feehan

Download or read book Analysis, Complex Geometry, and Mathematical Physics written by Paul M. N. Feehan and published by American Mathematical Soc.. This book was released on 2015-07-21 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.

Biological Fluid Dynamics: Modeling, Computations, and Applications

Author : Anita T. Layton
Publisher : American Mathematical Soc.
ISBN 13 : 0821898507
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Biological Fluid Dynamics: Modeling, Computations, and Applications by : Anita T. Layton

Download or read book Biological Fluid Dynamics: Modeling, Computations, and Applications written by Anita T. Layton and published by American Mathematical Soc.. This book was released on 2014-10-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the AMS Special Session on Biological Fluid Dynamics: Modeling, Computation, and Applications, held on October 13, 2012, at Tulane University, New Orleans, Louisiana. In recent years, there has been increasing interest in the development and application of advanced computational techniques for simulating fluid motion driven by immersed flexible structures. That interest is motivated, in large part, by the multitude of applications in physiology and biology. In some biological systems, fluid motion is driven by active biological tissues, which are typically constructed of fibers that are surrounded by fluid. Not only do the fibers hold the tissues together, they also transmit forces that ultimately result in fluid motion. In other examples, the fluid may flow through conduits such as blood vessels or airways that are flexible or active. That is, those conduits may react to and affect the fluid dynamics. This volume responds to the widespread interest among mathematicians, biologists, and engineers in fluid-structure interactions problems. Included are expository and review articles in biological fluid dynamics. Applications that are considered include ciliary motion, upside-down jellyfish, biological feedback in the kidney, peristalsis and dynamic suction pumping, and platelet cohesion and adhesion.

Nonlinear Wave Equations

Author : Christopher W. Curtis
Publisher : American Mathematical Soc.
ISBN 13 : 1470410508
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Wave Equations by : Christopher W. Curtis

Download or read book Nonlinear Wave Equations written by Christopher W. Curtis and published by American Mathematical Soc.. This book was released on 2015-03-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.

Mathematics Going Forward

Author : Jean-Michel Morel
Publisher : Springer Nature
ISBN 13 : 3031122445
Total Pages : 629 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematics Going Forward by : Jean-Michel Morel

Download or read book Mathematics Going Forward written by Jean-Michel Morel and published by Springer Nature. This book was released on 2023-06-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

An Alpine Anthology of Homotopy Theory

Author : Dominique Arlettaz
Publisher : American Mathematical Soc.
ISBN 13 : 082183696X
Total Pages : 228 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis An Alpine Anthology of Homotopy Theory by : Dominique Arlettaz

Download or read book An Alpine Anthology of Homotopy Theory written by Dominique Arlettaz and published by American Mathematical Soc.. This book was released on 2006 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second Arolla conference on algebraic topology brought together specialists covering a wide range of homotopy theory and $K$-theory. These proceedings reflect both the variety of talks given at the conference and the diversity of promising research directions in homotopy theory. The articles contained in this volume include significant contributions to classical unstable homotopy theory, model category theory, equivariant homotopy theory, and the homotopy theory of fusionsystems, as well as to $K$-theory of both local fields and $C*$-algebras.