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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Vanishing of some algebraic cycles on powers of Shimura curves
志村曲线 幂 代数 循环消失
2023/4/27
Heegner points and Jochnowitz congruences on Shimura curves
Heegner points Shimura curves L-functions Jochnowitz congruences
2012/4/18
Given a rational elliptic curve E, a suitable imaginary quadratic field K and a quaternionic Hecke eigenform g of weight 2 obtained from E by level raising such that the sign in the functional equatio...
Completed cohomology of Shimura curves and a p-adic Jacquet-Langlands correspondence
Shimura curves p-adic Jacquet-Langlands correspondence Number Theory
2011/8/25
Abstract: We study indefinite quaternion algebras over totally real fields F, and give an example of a cohomological construction of p-adic Jacquet-Langlands functoriality using completed cohomology. ...