Recent Advances in Diffeologies and Their Applications

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Release : 2024-02-02
Genre : Mathematics
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Book Rating : 546/5 ( reviews)

Recent Advances in Diffeologies and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Advances in Diffeologies and Their Applications write by Jean-Pierre Magnot. This book was released on 2024-02-02. Recent Advances in Diffeologies and Their Applications available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 18–20, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The articles present some developments of the theory of diffeologies applied in a broad range of topics, ranging from algebraic topology and higher homotopy theory to integrable systems and optimization in PDE. The geometric framework proposed by diffeologies is known to be one of the most general approaches to problems arising in several areas of mathematics. It can adapt to many contexts without major technical difficulties and produce examples inaccessible by other means, in particular when studying singularities or geometry in infinite dimension. Thanks to this adaptability, diffeologies appear to have become an interesting and useful language for a growing number of mathematicians working in many different fields. Some articles in the volume also illustrate some recent developments of the theory, which makes it even more deep and useful.

Recent Advances in Noncommutative Algebra and Geometry

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Release : 2024-05-30
Genre : Mathematics
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Book Rating : 392/5 ( reviews)

Recent Advances in Noncommutative Algebra and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Advances in Noncommutative Algebra and Geometry write by K. A. Brown. This book was released on 2024-05-30. Recent Advances in Noncommutative Algebra and Geometry available in PDF, EPUB and Kindle. This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.

Recent Developments in Fractal Geometry and Dynamical Systems

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Release : 2024-04-18
Genre : Mathematics
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Book Rating : 163/5 ( reviews)

Recent Developments in Fractal Geometry and Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Developments in Fractal Geometry and Dynamical Systems write by Sangita Jha. This book was released on 2024-04-18. Recent Developments in Fractal Geometry and Dynamical Systems available in PDF, EPUB and Kindle. This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14–15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and applications of polymorphisms, topological and geometric problems related to dynamical systems, and also covers fractal dimensions, including the Hausdorff dimension of fractal interpolation functions. Furthermore, the book contains a discussion of self-similar measures as well as the theory of IFS measures associated with Bratteli diagrams. This book is suitable for graduate students interested in fractal theory, researchers interested in fractal geometry and dynamical systems, and anyone interested in the application of fractals in science and engineering. This book also offers a valuable resource for researchers working on applications of fractals in different fields.

Advances in Functional Analysis and Operator Theory

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Release : 2024-04-09
Genre : Mathematics
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Book Rating : 054/5 ( reviews)

Advances in Functional Analysis and Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Functional Analysis and Operator Theory write by Marat V. Markin. This book was released on 2024-04-09. Advances in Functional Analysis and Operator Theory available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18–22, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The papers reflect the modern interplay between differential equations, functional analysis, operator algebras, and their applications from the dynamics to quantum groups to number theory. Among the topics discussed are the Sturm-Liouville and boundary value problems, axioms of quantum mechanics, $C^{*}$-algebras and symbolic dynamics, von Neumann algebras and low-dimensional topology, quantum permutation groups, the Jordan algebras, and the Kadison–Singer transforms.

Moduli Spaces and Vector Bundles—New Trends

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Release : 2024-07-18
Genre : Mathematics
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Book Rating : 961/5 ( reviews)

Moduli Spaces and Vector Bundles—New Trends - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli Spaces and Vector Bundles—New Trends write by Peter Gothen. This book was released on 2024-07-18. Moduli Spaces and Vector Bundles—New Trends available in PDF, EPUB and Kindle. This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.