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- W2120007863 abstract "We give a simplified and a direct proof of a special case of Ratner's theorem on closures and uniform distribution of individual orbits of unipotent flows; namely, the case of orbits of the diagonally embedded unipotent subgroup acting on $SL(2,K)/Gamma_1times ...times SL(2,K)/Gamma_n$, where $K$ is a locally compact field of characteristic 0 and each $Gamma_i$ is a cocompact discrete subgroup of $SL(2,K)$. This special case of Ratner's theorem plays a crucial role in the proofs of uniform distribution of Heegner points by Vatsal, and Mazur conjecture on Heegner points by C. Cornut; and their generalizations in their joint work on CM-points and quaternion algebras. A purpose of the article is to make the ergodic theoretic results accessible to a wide audience." @default.
- W2120007863 created "2016-06-24" @default.
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- W2120007863 date "2007-08-30" @default.
- W2120007863 modified "2023-09-27" @default.
- W2120007863 title "Unipotent flows on products of $SL(2,K)/Gamma$'s" @default.
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