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Dualité de Langlands quantique

Vadim Schechtman (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

Un survol des conjectures de Drinfeld, Beilinson, Gaitsgory et al. et de résultats de Gaitsgory sur la correspondance de Langlands quantique.

Dynamical systems arising from elliptic curves

P. D'Ambros, G. Everest, R. Miles, T. Ward (2000)

Colloquium Mathematicae

We exhibit a family of dynamical systems arising from rational points on elliptic curves in an attempt to mimic the familiar toral automorphisms. At the non-archimedean primes, a continuous map is constructed on the local elliptic curve whose topological entropy is given by the local canonical height. Also, a precise formula for the periodic points is given. There follows a discussion of how these local results may be glued together to give a map on the adelic curve. We are able to give a map whose...

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