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There are several equidistribution problems of arithmetic nature which have had shared interest between the fields of Ergodic Theory and Number Theory. The
relation of such problems to homogeneous flows and the reduction to analysis of special values of automorphic L-functions
has resulted in increased collaboration between these two fields of mathematics. We will discuss two such equidistribution problems: the equidistribution of
Heegner points for negative quadratic discriminants and the equidistribution of mass of Hecke eigenforms. Equidistribution follows upon establishing subconvexity
bounds for the associated L-functions and are fine examples as to why one might be interested in such objects.
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