Bigness in Compatible Systems
Bigness in Compatible Systems
Clozel, Harris and Taylor have recently proved a modularity lifting theorem of the following general form: if $$\rho $$ is an $$\ell $$ -adic representation of the absolute Galois group of a number field for which the residual representation $$\overline{\rho }$$ comes from a modular form then so does $$\rho …