## STNB2022 (35th edition)

### The conductor of a semistable hyperelliptic curve

Elisa Lorenzo

#### Abstract

After the talks by A. Somoza and N. Coppola introducing the “cluster picture” associated to a hyperelliptic curve $y^2 = f(x)$ over local fields of odd residue characteristic and how the special fibre of its minimal regular model is encoded by this combinatorial object, we will discuss how to also determine the curve’s Galois representation and its conductor.