Weightings and normal forms

15 February 2021
14:15
Eckhard Meinrenken
Abstract

The idea of assigning weights to local coordinate functions is used 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 blow-ups. As an application, I will describe a canonical local model for isotropic embeddings in symplectic manifolds. (Based on joint work with Yiannis Loizides.)

The join button will be published on the right (Above the view all button) 30 minutes before the seminar starts (login required).

  • Geometry and Analysis Seminar