Tame torsion of Jacobians and the inverse Galois problem
Linfoot Number Theory Seminar
23rd October 2019, 11:00 am – 12:00 pm
Fry Building, 2.04
Fix a positive integer g and prime p. Does there exist a curve of genus g, defined over the rationals, such that the mod p representation of its Jacobian is everywhere tamely ramified? In other words, can we make the ramification of the p-torsion points as nice as possible?
We will approach this question via the theory of Mumford curves and give an application to a variant of the inverse Galois problem. This is joint work with Tim Dokchitser.