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## Jean-Pierre Gazeau: "Illustration of Lie Group Theory with Real Matrices of Order Two"

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## Heuristics for boundedness of ranks of elliptic curves

Appears in collection : Rational points and algebraic geometry / Points rationnels et géométrie algébrique

We present heuristics that suggest that there is a uniform bound on the rank of $E(\mathbb{Q})$ as $E$ varies over all elliptic curves over $\mathbb{Q}$. This is joint work with Jennifer Park, John Voight, and Melanie Matchett Wood.

### Citation data

• DOI 10.24350/CIRM.V.19056403
• Cite this video Poonen Bjorn (9/28/16). Heuristics for boundedness of ranks of elliptic curves. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19056403
• URL https://dx.doi.org/10.24350/CIRM.V.19056403

### Bibliography

• Park, J., Poonen, B., Voight, J., & Wood, M.M. (2016). A heuristic for boundedness of ranks of elliptic curves. <arXiv:1602.01431> - https://arxiv.org/abs/1602.01431

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