|
Grading
|
For those taking the course for a grade, and for those seeking a particular form of pleasure, here is the
EXERCISE SHEET (final version). The exercise sheet is due on April 21. Please send me your work by email.
|
|
|
|
Notes
|
In the lecture of November 11, I stated a criterion for a k-tuples of vectors in a lattice to be a primitive k-tuple, but did not have time to complete the proof. Here is the
proof.
In the lecture of December 2, I didn't have time to prove a claim, which was needed in the proof that when G acts transitively on X, and a regular G-invariant Radon Borel measure on X exists, then this measure is unique up to scaling. Here is the
statement of the claim and its proof.
In the lecture of January 13, I didn't give the details of proof of the stability lemma. For the proof, please see this paper of Alam, Ghosh and Yu (Lemma 3.1).
|
|
|
|
|
References
|
Similar course I gave
over zoom in fall 2020. Note: The courses are not identical, the overlap is approximately 70%. Here is the link to that
that course's webpage.
J. W. S. Cassels,
Introduction to the geometry of numbers
P. M. Gruber and C. G. Lekkerkerker, Geometry of numbers
C. L. Siegel, Lectures on the geometry of numbers
Course notes of
Oded Regev (Tel Aviv University and NYU).
|
|