STNB2020(34th edition)
Wild Galois representations of hyperelliptic curves
Presenters
Nirvana Coppola
Abstract
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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