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The unipotent mixing conjecture

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Valentin Blomer
University of Bonn
Mon, 24/04/2023 - 10:00 - 11:00
MPIM Lecture Hall

Low-lying horocycles are known to equidistribute on the modular curve. Here we consider the joint distribution of two low-lying horocycles of different speeds in the product of two modular curves and show equidistribution under certain necessary diophantine conditions. The techniques involve a combination of arithmetic, automorphic and ergodic techniques. This is joint work with Philippe Michel.


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