In an ongoing work together with Marcelo Lanzilotta we have used the Igusa-Todorov functions to define GLIT classes and GLIT algebras, the latter being a vast family of artin algebras that satisfy the finitistic dimension conjecture. In this talk I will give the definition of a GLIT class and a GLIT algebra and explain their main properties. Furthermore, we establish when a triangular matrix algebra is GLIT and using this result we can give a partial answer to the question of whether the tensor product of GLIT algebras is again GLIT. Lastly I will give a new characterization of the finitistic dimension conjecture using GLIT classes.