Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Compactified universal Jacobian and the double ramification cycle

Bashar Dudin

created by risa on 11 Dec 2015

17 dec 2015 -- 14:00

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


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.

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