Title: The distribution of continued fractions and modular symbols
Speaker: Professor Yuri Manin
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Abstract:
In a joint work with M. Marcolli, we formulate and prove several new results on the statistics of continued fractions and geodesics on modular curves. We interpret these results in the spirit of non-commutative geometry of the "boundary modular curve" Connes style.Date: Tuesday, May 1, 2001