Partial Differential Operators Seminar

On this page you will find scans of the lecture notes that I prepare for myself. These do not correspond directly with the notes that I write on the board. You should still take your own notes. Also, there are probably mistakes in these notes that are corrected (hopefully) in the seminar.

The PDFs found below are transcriptions of my lectures made and shared by Justin Mears. Any mistakes within the notes are mine, not his. Many thanks, Justin!

Lecture 1:

Intro to Manifolds

Lecture 2:

Fiber Bundles

Lecture 3:

Some Sheaf Theory

Lecture 4:

Some Jet Theory

Lecture 5:

Peetre's Theorem

Lecture 6:

Slovák's Theorem

Lecture 7:

Pseudo-Riemannian Metrics and their Connections

Lecture 8:	Curvatures
	Surfaces of Revulotion [generic] (Mathematica Notebook)
	Surfaces of Revulotion [sine curve] (Mathematica Notebook)

Lecture 9:

2-Step Nilpotent Lie Groups

Lecture 10:

(Pseudo-) H-Type Groups

Lecture 11:

Geometric Computations in 2-Step Nilpotent Lie Algebras (using Matlab/Octave)