Counting Connections and the Ehrenpreis Conjecture

Counting Connections and the Ehrenpreis Conjecture

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Jeremy Kahn, Brown University
Fine Hall 314

Let $S$ be a closed hyperbolic surface. We review the theory of counting connections on $S$---between points, between horocycles, and between geodesic segments---and we explain how this relates to the proof of the Ehrenpreis conjecture.