Recent Advances in Diffeologies and Their Applications

Jean-Pierre Magnot, Universite d'Angers, France. Lycee Jeanne d'Arc, Clermont-Ferrand, France.

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