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#### Mathematisches Kolloquium

„Anabelian criteria for good reduction of $p$-adic curves“
Let $X$ be a smooth, projective curve over a $p$-adic field $K$. In this talk we will discuss various criteria for establishing if $X$ has good reduction, i.e. if it has a smooth, proper model over the ring of integers of $K$. This information is contained in the action of the absolute Galois group of $K$ on various $\ell$-adic quuotients of the geometric fundamental group of the curve (we assume $X$ has a $K$-rational point.)