# MATH 667: Seminar in Spectral Theory I

** COURSE PAGE:**

http://www.math.mcgill.ca/jakobson/courses/math667.html

This page is under construction

**INSTRUCTORS:**

**LECTURES:**

**TEXT:**

**COURSE DESCRIPTION:**

We shall study Rellich's book "Perturbation theory of eigenvalue
problems" and discuss related questions, e.g. about generic Riemannian
metrics.

**Presentations, Grading**

The students registered for the course will be expected to make
two oral presentation (40-50 minutes) on one of the topics
suggested by the instructors. The grades will be based
on these presentations.

**Introductory links in spectral theory**

**Links on Generic Metrics**

## Lecture notes from previous courses at McGill

## Links from the course on Spectral Geometry of Random Metrics:

** Curvature of random metrics**
** Introduction to Riemannian Geometry**

**Laplacian, heat kernel etc **

**Comparison Geometry**

**Probability and Geometry**

**Curvature**

**Scalar Curvature**

**Extremal Metrics**

**Quantum gravity and KPZ conjecture**

**Random waves**

**Spaces of Riemannian metrics and structures on them**

**Spaces of mappings**

**Introductory Links in Differential Geometry, Spectral Geometry etc **

**NOTICE:**
McGill University values academic integrity. Therefore, all
students must understand the meaning and consequences of
cheating, plagiarism and other academic offences under the Code
of Student Conduct and Disciplinary Procedures (see McGill web page
on Academic Integrity
for more information).

**NOTICE:**
In the event of extraordinary circumstances beyond the University's
control, the content and/or evaluation scheme in this course is
subject to change.