Space of morphisms & Moduli stack of elliptic fibrations

Abstract: 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.

algebraic geometrynumber theory

Audience: researchers in the discipline

SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

We normally meet in-person in the indicated room. For online editions, we use Zoom and distribute the link through the mailing list. If you wish to be put on the mailing list, please subscribe to ntag-external using lists.sfu.ca