Friday, September 16 2016
15:30 - 16:30

Alladi Ramakrishnan Hall

Strong multiplicity one in the context of $l$-adic Galois representations

C. S. Rajan


We discuss an algebraic Chebotarev density theorem.
We deduce that if two non-CM cuspforms have equal Hecke
eigenvalues at a set of places positive density, then the forms are twists
of each other by a Dirichlet character. We also consider the question of
potential equivalence in the context of Galois representations: whether
two representations which are locally potentially equivalent are globally
potentially equivalent, and discuss the solution for two dimensions.

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