SFU Number Theory and Algebraic Geometry Seminar: June Park

The defining property of fine moduli stacks (of curves) is that they have 'universal families' which translates the study of a family of (curves) as the study of morphisms to moduli stacks. I will explain this idea using Hom_{n}(P^1, Mbar_{1,1}) the space of rational curves on the moduli stack of stable elliptic curves. Once we have the space, we will compute some arithmetic invariants via topological methods.