Indico Feedhttps://indico.math.cnrs.fr/category/181/events.atom2017-12-15T08:00:00ZPyAtomRadon transform for sheaf categorieshttps://indico.math.cnrs.fr/event/2592/2017-10-20T10:30:00ZThe Radon transform in functional analysis is an integral transform evaluating hyperplanes in Euclidean space. In a similar spirit, we define a Radon transform for the microlocal sheaf categories and prove it is an equivalence after proper localizations. Then we relate the Radon transform to the projective duality, and we also give an application of the transform in contact geometry.No Titlehttps://indico.math.cnrs.fr/event/2805/2017-10-27T10:30:00ZNo Titlehttps://indico.math.cnrs.fr/event/2824/2017-11-10T10:30:00ZFrom homogeneous metric spaces to Lie groupshttps://indico.math.cnrs.fr/event/2872/2017-11-17T10:30:00ZWe want to better understand the structure of metric spaces that are
locally compact, connected and isometrically homogeneous.
After the solution of the Hilbert 5th problem, we know that any such a
space is quasi-isometric to some Lie groups, which can be chosen to be
solvable.
Moreover, if in addition such spaces are locally connected and of
finite topological dimension, then they are in fact Lie-group
quotients.
We shall focus on those spaces that are either geodesic metric spaces,
or have polynomial growth, or admit self-similarities.
Respectively, we shall have Carnot groups, quasi-nilpotent groups, and
graded groups.
Joint work with M.Cowling, V.Kivioja, A.Ottazzi, and S.Nicolussi Golo.
No Titlehttps://indico.math.cnrs.fr/event/2825/2017-11-24T10:30:00ZNo Titlehttps://indico.math.cnrs.fr/event/2875/2017-12-08T10:30:00ZNo Titlehttps://indico.math.cnrs.fr/event/2876/2017-12-15T08:00:00Z