MATH 595: Spectral theory of automorphic forms.
Office Hours: Tuesday and Wednesday, 13:30-14:30
Web Page: www.math.mcgill.ca/jakobson
Course page: http://www.math.mcgill.ca/jakobson/courses/math595.html
In the course we shall discuss spectral theory of automorphic forms
for discrete co-compact or finite-area subgroups of SL(2,R). We shall
follow the book "Spectral theory of automorphic forms" by H. Iwaniec.
We expect to consider some of the following topics (as time permits):
harmonic analysis in the hyperbolic plane, Fuchsian groups, Eisenstein
series, cusp forms, the spectral theorem, Rankin-Selberg method,
Selberg trace formula, counting closed godesics, Weyl's law,
applications to number theory.
In addition to doing homework assignments, the students registered
for the course will be expected to give
one or two oral presentations (around 30 minutes) on a topic
suggested by the instructor. The grade will be based on the assignments
and on these presentations.
Previous related courses at McGill
Possible themes for Presentation
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 accord with McGill University's Charter of Student
Rights, students in this course have the right to submit in English or
in French any work that is to be graded.
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.