Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

Payman L Kassaei, Shu Sasaki, Yichao Tian

We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois r…