This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode
(India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were
focused on several aspects of number theory: The theory of automorphic forms and their
associated L-functions Arithmetic geometry with special emphasis on algebraic cycles Shimura
varieties and explicit methods in the theory of abelian varieties The emerging applications of
number theory in information technology Kumar Murty has been a substantial influence in these
topics and the two conferences were aimed at honoring his many contributions to number theory
arithmetic geometry and information technology.
