Eckhard Meinrenken
(University of Toronto)
February 19, 2021
Organized by Americas GNCG Seminar.

Differential Geometry of Weightings

The idea of assigning weights to local coordinate functions appears in many areas of mathematics, such as singularity theory, microlocal analysis, sub-Riemannian geometry, or the theory of hypo-elliptic operators, under various terminologies. In this talk, I will describe some differential-geometric aspects of weightings along submanifolds. This includes a coordinate-free definition, and the construction of weighted normal bundles and weighted deformation spaces. As an application, I will discuss the osculating tangent bundle for Lie filtrations, and the corresponding tangent groupoid of Choi-Ponge, van Erp-Yuncken, and Haj-Higson.  (Based on joint work with Yiannis Loizides.)

Share on email
Share on facebook
Share on google
Share on twitter
Share on linkedin