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p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves (2405.16032v1)
Published 25 May 2024 in math.NT and math.DS
Abstract: We propose a p-adic version of Duke's Theorem on the equidistribution of closed geodesics on modular curves. Our approach concerns quadratic fields split at p as well as a p-adic covering of the modular curve. We also prove an equidistribution result of Heegner points in the p-adic space attached to Shimura curves.
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