Speaker: Salomón Rebollo Date: 10:30 18/06/2021 Title: Abelian integrals for trivial global monodromy polynomials. Abstract: Let $H(x,y)$ be a primitive polynomial having trivial global monodromy group of degree $m + 1$ and let $\omega$ be a polynomial 1-form of degree $n$. We will give a polynomial upper bound $Z_{TM}(m, n)$ for the maximum number of zeros of the Abelian integral defined by $H(x,y)$ and $\omega$.