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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Department Colloquium
Prof. Shou-Wu Zhang
Princeton University
Heights of Gross—Schoen cycles and the uniform Mordell—Lang conjecture
Abstract:
In this talk, we first consider a formula proved in the 2010s that relates the height pairing of the Gross—Schoen cycles on the product of a curve over a number field and the self-product of the relative dialyzing sheaves. Then, we describe a recent application given by Xinyi Yuan on the uniform Bogomolov conjecture and the uniform Mordell—Lang conjecture.
Host: Cristian D. Popescu
November 9, 2023
4:00 PM
APM 6402
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