Description
TITLE: On the classification of modular compactification of the universal Jacobian
ABSTRACT: I will first report on a joint work with M. Fava and N. Pagani in which we give a complete classification of all the modular compactifications of the universal Jacobian over the moduli stack of pointed stable curves. Then, I will discuss the relationship between these modular compactifications and the universal logarithmic and tropical Picard stacks (joint work, partially in progress, with M. Melo, S. Molcho, M. Ulirsch, J. Wise).