University of Bristol
Date(s) : 03/12/2020 iCal
11 h 00 min - 12 h 00 min
Fix positive integers g and m. Does there exist a genus g curve, defined over the rationals, such that the mod m representation of its Jacobian is everywhere tamely ramified? I will give an affirmative answer to this question when m is squarefree via the theory of hyperelliptic Mumford curves. I will also give an application of this to a variant of the inverse Galois problem. This is joint work with Tim Dokchitser.
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