Résume | In the geometric Langlands program, the Fundamental Local Equivalence (FLE) relates the Kazhdan--Lusztig category attached to a reductive group with the space of opers for the Langlands dual group. I will explain this equivalence and the role it plays in the proof. This is joint work with Arinkin, Campbell, Chen, Faergeman, Gaitsgory, Lin, Raskin, Rozenblyum. |