Abstract: Let F be an equal characteristic local field and G a reductive group. It is known that by type theory that representations of G(F) can be understood as modules over various associative algebras, called Hecke algebras. In particular tamely ramified principle series are modules of the affine Hecke algebra. Based on this interpretation and a realization of the affine Hecke algebra using equivariant K-theory, Kazhdan and Lusztig proved the Deligne-Langlands correspondence. A geometrization of such correspondence was studied by Roman Bezrukavnikov, by proving a coherent realization of the affine Hecke category. In this talk, I will give an equivalence between certain deeper level Hecke categories with affine Hecke categories of a smaller group H (usually a twisted Levi of loop group LG), therefore relating wildly ramified representations with tamely ramified ones of H.