TCC - Hilbert Schemes and Moduli Spaces - Schedule
Term 1


The following is an outline of the course, which will be updated as the course progresses.
This will probably change as the term progresses, and details will be added. If you're only interested in the lectures on a particular topic, email me to confirm the date on which they will take place.

Let me know of any typos in the typed lecture notes.

Return to the main module webpage.

Week Date Topics Notes Homework
1 11/10 Introduction, moduli problems, fine moduli spaces Lecture 1 (typed)
Notes from lecture (typo on p17 - check printed version)
Exercise 1 (corrected)
2 18/10 Introduction to the Hilbert scheme Lecture 2 (typed)
Notes from lecture
Exercise 2
3 25/10 Construction of the Hilbert scheme Lecture 3(typed)
Notes from lecture
M2 code
Exercise 3
4 8/11 Connectedness Lecture 4 (typed)
Notes from lecture
Exercise 4
5 15/11 Smoothness Lecture 5 (typed) (corrected)
Notes from lecture (typo on p22 - check printed version)
Exercise 5
6 22/11 Pathologies Lecture 6 (typed)
Notes from lecture
Exercise 6
7 29/11 Other Hilbert schemes and moduli spaces Lecture 7 (typed)
Notes from lecture
Exercise 7
8 6/12 Moduli of curves and abelian varieties Lecture 8 (typed) Exercise 8