Isolated Points on Curves

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Meeting ID: 933 610 9307
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Meeting ID: 933 610 9307
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Friday, November 13, 2020 - 15:30


Speaker Information
Bianca Viray
University of Washington

Abstract or Additional Information

Let C be an algebraic curve over Q, i.e., a 1-dimensional complex manifold defined by polynomial equations with rational coefficients. A celebrated result of Faltings implies that all algebraic points on C come in families of bounded degree, with finitely many exceptions.  These exceptions are known as isolated points. We explore how these isolated points behave in families of curves and deduce consequences for the arithmetic of elliptic curves.  This talk is on joint work with A. Bourdon, Ö. Ejder, Y. Liu, and F. Odumodu.