The density of ramified primes in semisimple p-adic Galois representations, by Chandrashekhar Khare and C.S. Rajan

We prove that the density of ramified primes in semisimple p-adic representations of Galois groups of number fields is 0. Ravi Ramakrishna has produced examples of such representations that are infinitely ramified.

Chandrashekhar Khare and C.S. Rajan <shekhar@math.tifr.res.in, rajan@math.tifr.res.in>