## Barcelona Fall Workshop on Number Theory II

### Posters.

#### Co-ordinators

Luis Dieulefait and Nuno Freitas

#### Talks

1. Quadratic points on modular curves (Josha Box)
2. Torsion groups of elliptic curves defined over number fields with rational j-invariant (Tomislav Gužvić (Zagreb))
3. Effective irreducibility of residual Galois representations of abelian surfaces with RM over $\mathbb{Q}$ computationally. (Timo Keller (Bayreuth))
4. Torsion groups of elliptic curves over infinite Abelian extensions of $\mathbb{Q}$ (Ivan Krijan (Zagreb))
5. Local obstructions to S-unit equations (Eduardo Soto (Barcelona))
6. Torsion subgroups of elliptic curves over cubic number fields (Antonela Trbović (Zagreb))
7. Torsion groups of rational elliptic curves over some cyclotomic fields. (Borna Vukorepa (Zagreb))
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