#### On some results and conjectures in the theory of automorphic forms

**Pilar Bayer (Universitat de Barcelona)**

Viernes, 12 de abril, 12:00h. |

Endowed with a differential factor, the concept of automorphic form generalizes that of periodic function. Automorphic forms are present in almost every area of modern number theory and there is a widespread belief that all relevant L-functions occurring in arithmetic algebraic geometry should be automorphic. The talk will focus on automorphic forms and will show some of the links discovered between arithmetic and analysis, in order to acquire a better understanding of ``numbers''.