The colloquium will discuss a variant of the multiplicity one theorem for modular forms, and consider the question of when the set of Hecke eigenvalues of a cusp form on GL(n) is contained in the set of Hecke eigenvalues of a cusp form on GL(m) for n≤m. We will also discuss an analogous question about group representations which seems not to have been considered before. Joint work with R. Raghunathan.

Dipendra Prasad is professor of Indian Institute of Technology Bombay, Mumbai.His principal area of research has been in the local and global aspects of the theory of Automorphic Representations.