Text: Hodge Theory and Complex Algebraic Geometry I,
Claire Voisin, ISBN
I will be following the text fairly loosely. In particular, I want to make sure that you come out of this course with a fair amount of experience working with sheaves, and with some basic examples of complex algebraic varieties, which means I will spend more time on these topics than Voisin does, and get to them earlier. I also expect to follow the book more closely as the term goes on, since I have fewer strong opinions about how the later material should be taught.
Office Hours: 2844 East Hall, Monday 10-12 and Thursday 2:30-4:00. Also, please feel free to knock on my door or e-mail me at any time.
Professor: David E Speyer, 2844 East Hall, firstname.lastname@example.org
Course homepage: http://www.math.lsa.umich.edu/~speyer/632.html
Level: Graduate students with some familiarity with manifolds, complex analysis and algebraic topology.
Student work expected: I will give problem sets every week, due
Tuesdays in class. I will also require students to take turns serving as
scribe for the course, meaning taking TeXed notes on what I have said
Homework Policy: You are welcome to consult each other
provided (1) you list all people and sources who aided you, or
whom you aided and (2) you write-up the solutions independently, in
your own language.
Scribing: I will require students to take turns signing up to record, in TeXed format, what I said in lecture. The due date for turning notes is one week after the lecture, sent to me by e-mail. I highly encourage you to be faster, as this will both be easier for you and more helpful for you fellow students. You may want to bring a laptop to class and try live TeXing (some useful tips here). I will edit these notes before posting them.
If you are scribing and are confused about some point from the lecture, please let me know so that I can work with you. Of course, this also applies if you are confused and are not scribing!
There are currently 14 students registered for a 28 lecture class. A few of these will be review classes which will not need scribes, and I will scribe the first lecture myself. If all of you remain for the whole term, then most of you will scribe twice. I expect a more likely estimate is that you will wind up scribing 3–4 times.
For your convenience, this LaTeX template provides some convenient formatting and macros. I will add useful macros throughout the term as I think of them. If you are a TeX wizard who would rather use some other template, this is fine. If you have never learned how to use LaTeX, then you really need to, as it is the standard tool of all mathematical publishing and will be crucial to anyone pursuing a career as a mathematician. Please alert me to your situation, and I will help you. A useful website for getting help with LaTeX difficulties is tex.stackexchange.com.
Note that these notes will be posted publicly online, in both TeX and PDF form, with your name attached to them, and that I may edit them to remove errors in my lectures or your understanding of them. You give me permission to do this, but otherwise retain copyright to your notes.