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Joint equidistribution within 4 modular surfaces and 2 spheres

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Manfred Einsiedler
ETH Zürich
Mon, 02/07/2018 - 10:00 - 10:50
MPIM Lecture Hall

We will discuss an equidistribution problem concerning rational planes in four-space. Due to an accidental isomorphism this problem relates in a natural manner to the simultaneous study of four CM-points on the modular surface and two points on the two-dimensional sphere. Using Duke's theorem and a joining classification we obtain joint equidistribution under suitable congruence conditions on the covolume of the planes.
This is joint work with Menny Aka and Andreas Wieser, and relies on a joint theorem with Elon Lindenstrauss.

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