Seminar series
Date
Thu, 30 May 2019
Time
16:00 -
17:00
Location
L6
Speaker
Michalis Neururer
Organisation
TU Darmstadt
I will discuss the arithmetic significance of Fourier expansions of modular forms at cusps. I will talk about joint work with F. Brunault, where we determine the number field generated by Fourier coefficients of newforms at a cusp. Then I will discuss joint work with A. Saha and K. Česnavičius where we find denominator bounds for Fourier expansions at cusps and apply these bounds to a conjecture on the Manin constants of elliptic curves.