Equidistribution problems over totally real fields
<p>This thesis concerns equidistribution problems over totally real fields. Our main result is extending the work of Khayutin in [Kha17] to prove the joint equidistribution of CM points on quaternion algebras over totally real fields. To aid further results in this area, we give a general trea...
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| Format: | Thesis |
| Language: | English |
| Published: |
2024
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| Summary: | <p>This thesis concerns equidistribution problems over totally real fields. Our main result is extending the work of Khayutin in [Kha17] to prove the joint equidistribution of CM points on quaternion algebras over totally real fields. To aid further results in this area, we give a general treatment of the ergodic theory required to prove equidistribution results of CM points, and some results towards the case of unitary groups, as well as the Kuga-Sato setting.</p> |
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