September 26, 2003
- Handouts:
- This is a much-improved new version of the handout from last time: moduli_and_ramification.pdf
- These are the slides for a powerpoint presentation on modular symbols:
PDF, handout,
Powerpoint
- This is a paper I wrote for an MSRI conference/ is an introduction to
computing with modular forms using modular symbols: PDF
- I recommend that you look at Manin's paper Parabolic
points and zeta functions of modular curves over the weekend. I hope to
talk about it on Monday.
- You can download MAGMA for your PC from
this site.
- Discuss the Weil pairing, and how it is important in understanding
what X(N) parametrizes.
- Discuss ramification of X(N) over X(1).
- State the ramification degrees over 0, 1728, and oo, and use them to deduce
the genus formula for X(N).
- Show the powerpoint presentation on modular symbols (see above handout).
- I will not have office hours today.