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 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