be no class on Friday March 14 (I will be at
will be no classes on Monday Feb 4 and Wednesday Feb 6 (I will be in
ˇ The first class will be on Wednesday, January 9 (I will be at the AMS meeting in San Diego on Monday January 7).
ˇ Instructor: Terence Tao, firstname.lastname@example.org, x64844, MS 6183
ˇ Lecture: MWF 4-4:50, MS5117
ˇ Quiz section: None
ˇ Office Hours: M 2-3
ˇ Textbook: I will use a number of sources, including Furstenberg’s “Recurrence in ergodic theory and combinatorial number theory” and Witte Morris’ “Ratner’s theorems on unipotent flows”. I will post lecture notes on my blog site.
ˇ Prerequisite: Math 245AB is highly recommended. In particular, familiarity with measure theory and point set topology is pretty much essential. It will also help if you know what a Lie group is.
ˇ Grading: This is a topics course, so I am planning a fairly informal grading scheme. Basically, the base grade will be B provided you actually show up to a significant number of classes, and adjusted upwards according to whether you turn in any homework.
ˇ Homework: There are six homework assignments:
1. Homework 1: Do Exercise 1 from Lecture 2. (Due Wed Jan 23.)
2. Homework 2: Do Exercise 9 from Lecture 3. (Due Wed Jan 30.)
3. Homework 3: Do Exercises 6 and 7 from Lecture 4. (Due Fri Feb 8.)
4. Homework 4: Do Exercise 6 from Lecture 6. (Due Wed Feb 20.)
5. Homework 5: Do Exercise 10 from Lecture 8. (Due Wed Feb 28.)
6. Homework 6: Do Exercises 2 and 3 from Lecture 10. (Due Fri Mar 7.)
ˇ Akshay Venkatesh’s lecture notes cover similar ground to this course.
ˇ A book by Einsiedler and Ward on ergodic theory from a number-theoretic perspective.