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Title: Refinement of Chebotarev's denisity theorem in SL_2(\Z)
Authors: Medvedev, Marko
Advisors: Sarnak, Peter C
Department: Mathematics
Class Year: 2022
Abstract: We prove a local version of the Chebotarev type theorem for prime geodesics in the case of SL_2(\Z). That is, we prove that under the reduction modulo p, \rho: SL_2(\Z) \to SL_2(\F_p), the primes in SL_2(\Z) are equidistributed exactly among those conjugacy classes that are in the image of \rho.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Mathematics, 1934-2023

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