Continuing from the end of last week’s talk, PhD student Zijing Ye will explain why the GIT quotient gives us the coarse moduli space of smooth curves of genus g. Then they will briefly explain how this idea helps us further construct the coarse moduli space of level n, g-dimensional abelian varieties with a polarization of degree d^2, showing the audience how stability and polarization play a part in it. Finally, they will talk about the intersection theory on moduli space, which helps solve counting problems in algebraic geometry and in the end leads to the introduction to Gromov-Witten theory.
