Speaker: Tiago Fonseca Date: 10:30 15/01/2021 Title: Periods and Poincaré series Abstract: Poincaré series are among the first examples of modular forms. They are useful in many analytic questions, but their Fourier coefficients seem hard to grasp algebraically. In this talk, I will discuss the arithmetic nature of Fourier coefficients of Poincaré series by characterizing them as periods of modular motives.