Graduate Number Theory Seminar
Robert Krzyzanowski
UIC
Modular curves as Riemann surfaces
Abstract: To each congruence subgroup $\Gamma$ of $SL_2(\mathbb{Z})$, we can associate a modular curve
to be the quotient space $\Gamma/\mathbb{H}$ (where $\mathbb{H}$ is the complex upper half plane).
We will see the set of orbits generated by the action of $\Gamma$ can be made into a Riemann surface,
which can then be compactified.
Monday February 9, 2009 at 3:00 PM in SEO 427