The p-adic and mod p Langlands program is an avatar of the classical Langlands program and has been first initiated by C. Breuil. In this colloquium talk, I will give a brief introduction to the program and survey some recent progress in the case of GL_2.

Yongquan HU is a professor of Morningside Center of Mathematics, Chinese Academy of Sciences.

Research interests: p-adic and mod p Langlands program, and its applications.