Del 0 - Contemporary Mathematics

Recent Advances in Diffeologies and Their Applications

Häftad, Engelska, 2024

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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 Universite 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.

Produktinformation

Utgivningsdatum2024-04-30
Mått178 x 254 x undefined mm
Vikt191 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor258
FörlagAmerican Mathematical Society
ISBN9781470472542

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Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

N. Goldammer, J.-P. Magnot, and K. Welker, On diffeologies from infinite dimensional geometry to PDE constrained optimzationC. Blohmann, Elastic diffeological spacesA. Ahmadi, A remark on stability and the D-topology of mapping spacesY. Karshon and J. Watts, Smooth maps on convex setsE. Wu, A survey on diffeological vector spaces and applicationsE. Pervova, Finite-dimensional diffeological vector spaces being and not being coproductsD. Miyamoto, Singular foliations through diffeologyJ. Watts and S. Wolbert, Diffeological coarse moduli spaces of stacks over manifoldsF. Battaglia and E. Prato, Generalized Laurent monomials in nonrational toric geometryI. Androulidakis, On a remark by Alan WeinsteinA. Eslami-Rad, J.-P. Magnot, E. G. Reyes, and V. Rubtsov, Diffeologies and generalized Kadomtsev-Petviashvili hierarchiesN. Iwase, Smooth $A_\infty$-form on a diffeological loop spaceH. Kihara, Smooth homotopy of diffeological spaces: Theory and applications to infinite-dimensional $C^\infty$-manifolds