Applications of the Chebotarev density theorem

Applications of the Chebotarev density theorem

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Congling Qiu, Princeton University
Fine Hall 314

The Chebotarev density theorem is a basic and useful theorem in number theory. I will introduction some applications of CDT to modular forms based on Deligne’s theorem on l-adic representation attached to modular forms, and make connections with conjectures of Maeda and Lang-Trotter.