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Arithmetic and Dynamics

Simon Kristensen
Torsdag, 3 marts, 2011, at 16:15, in Aud. D3 (1531-215)

Problems of an arithmetical nature often have an interpretation in terms of dynamical systems. This is not a new observation. However, the observation has gained considerably in importance in recent years. Not least with the award of the 2010 Fields Medal to Elon Lindenstrauss for his contributions to the field.

In the talk, I will give a survey of the application of dynamical ideas to the field of arithmetic. Particular emphasis will be on Diophantine approximations, as well as on explaining the ideas underlying the work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture.

Kontaktperson: Bent Ørsted