Number Theory Seminar

Speaker: Sudhir Pujahari (Hong Kong)

Title: Arithmetic and statistics of sums of eigenvalues of Hecke operators.

Abstract: In the first part of the talk, we will study about the distribution of gaps between eigenvalues of Hecke operators in both horizontal and vertical settings. As an application of this we will obtain a strong multiplicity one theorem and evidence towards Maeda conjecture. The horizontal setting is a joint work with M. Ram Murty. In the second part of the talk, using recent developments in the theory of l-adic Galois representations we will study the normal number of prime factors of sums of Fourier coefficients of eigenforms. The final part is a joint work with M. Ram Murty and V. Kumar Murty.

The talk will take place on Zoom. If you would like to receive the Zoom link and are not part of our current NT Seminar mailing list, please contact the organizer.