INdAM Program on Serre Conjectures and the p-adic local Langlands program
There exist interesting congruences between coefficients of modular forms.  An explanation to thisphenomenon  is  the  existence  ofp-adic  families  of  modular  forms.   The  goal  for  this  cours  is  tointroduce the notion ofp-adic modular forms and their arithmetic applications, especially in theetale cohomology of locally symmetric spaces.