Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
The seminar will feature research talks by distinguished researchers in a range of areas related to the program. The lectures will be delivered in the colloquium style and accessible to broad audience.
euristics For The Arithmetic Of Elliptic Curves
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Abstract: We discuss a probabilistic model for the arithmetic of elliptic curves, a model developed in a series of articles with Bhargava, Kane, Lenstra, Park, Rains, Voight, and Wood. We discuss the theoretical evidence for the model, and we make predictions about elliptic curves based on corresponding theorems proved about the model. In particular, the model suggests that all but finitely many elliptic curves over Q have rank <= 21, which would imply that the rank is uniformly bounded.
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