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| Softcover ISBN: | 978-1-4704-7254-2 |
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| Softcover ISBN: | 978-1-4704-7254-2 |
| Product Code: | CONM/794 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| eBook ISBN: | 978-1-4704-7607-6 |
| Product Code: | CONM/794.E |
| List Price: | $129.00 |
| MAA Member Price: | $116.10 |
| AMS Member Price: | $103.20 |
| Softcover ISBN: | 978-1-4704-7254-2 |
| eBook ISBN: | 978-1-4704-7607-6 |
| Product Code: | CONM/794.B |
| List Price: | $264.00 $199.50 |
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Book DetailsContemporary MathematicsVolume: 794; 2024; 258 ppMSC: Primary 14; 37; 46; 49; 53; 57; 58; 81
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.
ReadershipGraduate students and research mathematicians interested in topology, differential geometry, and functional analysis.
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Table of Contents
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Articles
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Nico Goldammer, Jean-Pierre Magnot and Kathrin Welker — On diffeologies from infinite dimensional geometry to PDE constrained optimization
-
Christian Blohmann — Elastic diffeological spaces
-
Alireza Ahmadi — A remark on stability and the D-topology of mapping spaces
-
Yael Karshon and Jordan Watts — Smooth maps on convex sets
-
Enxin Wu — A survey on diffeological vector spaces and applications
-
Ekaterina Pervova — Finite-dimensional diffeological vector spaces being and not being coproducts
-
David Miyamoto — Singular foliations through diffeology
-
Jordan Watts and Seth Wolbert — Diffeological coarse moduli spaces of stacks over manifolds
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Fiammetta Battaglia and Elisa Prato — Generalized Laurent monomials in nonrational toric geometry
-
Iakovos Androulidakis — On a remark by Alan Weinstein
-
Anahita Eslami-Rad, Jean-Pierre Magnot, Enrique G. Reyes and Vladimir Rubtsov — Diffeologies and generalized Kadomtsev-Petviashvili hierarchies
-
Norio Iwase — Smooth $A_{\infty }$-form on a diffeological loop space
-
Hiroshi Kihara — Smooth homotopy of diffeological spaces: theory and applications to infinite-dimensional $C^\infty $-manifolds
-
-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
Graduate students and research mathematicians interested in topology, differential geometry, and functional analysis.
-
Articles
-
Nico Goldammer, Jean-Pierre Magnot and Kathrin Welker — On diffeologies from infinite dimensional geometry to PDE constrained optimization
-
Christian Blohmann — Elastic diffeological spaces
-
Alireza Ahmadi — A remark on stability and the D-topology of mapping spaces
-
Yael Karshon and Jordan Watts — Smooth maps on convex sets
-
Enxin Wu — A survey on diffeological vector spaces and applications
-
Ekaterina Pervova — Finite-dimensional diffeological vector spaces being and not being coproducts
-
David Miyamoto — Singular foliations through diffeology
-
Jordan Watts and Seth Wolbert — Diffeological coarse moduli spaces of stacks over manifolds
-
Fiammetta Battaglia and Elisa Prato — Generalized Laurent monomials in nonrational toric geometry
-
Iakovos Androulidakis — On a remark by Alan Weinstein
-
Anahita Eslami-Rad, Jean-Pierre Magnot, Enrique G. Reyes and Vladimir Rubtsov — Diffeologies and generalized Kadomtsev-Petviashvili hierarchies
-
Norio Iwase — Smooth $A_{\infty }$-form on a diffeological loop space
-
Hiroshi Kihara — Smooth homotopy of diffeological spaces: theory and applications to infinite-dimensional $C^\infty $-manifolds
