# Compactified universal Jacobian and the double ramification cycle

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Bashar Dudin

created by risa on 11 Dec 2015

17 dec 2015
-- 14:00

Aula 211, Dip. Matematica, Università "Roma Tre", Roma

**Abstract.**

On the moduli space of projective smooth n-marked genus g curves, the
double ramification cycle is the codimension g cycle corresponding to
curves admitting a principal divisor of a given form. The Eliashberg
problem is about finding a geometrical meaningful extension of the
double ramification cycle to the moduli space of stable curves,
together with an explicit expression of it in terms of tautological
cycles. After going through known results and approaches to the
Eliashberg problem, we will show how to use the compactified universal
Jacobian in the sense of Margarida Melo to build up a strategy
extending known results up so far.