Because so many actors in their 30s and 40s have played Hamlet — and another one, 45-year-old Paul Giamatti, is slated to tackle the role later this season at Yale Rep — it’s easy to forget that the soliloquizing prince is, after all, still a university student. That fact is never far from our minds as we watch the spirited production of “Hamlet’’ by Shakespeare’s Globe Theatre, presented by ArtsEmerson at the Paramount Center Mainstage.
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