STNB

STNB2020(34è any)

Wild Galois representations of hyperelliptic curves

Ponents

Nirvana Coppola

Resum

In this talk we will investigate the Galois action on a certain family of hyperelliptic curves defined over local fields. In particular we will look at curves with potentially good reduction, which acquire good reduction over a wildly ramified "large" extension. We will first clarify what large means and then show how to determine the Galois representation in the case considered.

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