During this talk, I will discuss many results about modular forms modulo p. I will begin defining modular forms, providing examples, and reviewing what the Hecke operators are. I will then talk about some results of filtrations, well known facts about Eisenstein series modulo p, and the Theta operator. I end the talk with the connection between Galois representations and modular forms and what this means for the coefficients of normalized eigenforms modulo p.
Talk by Cruz Castillo