Department of Mathematics Seminar
Thursday, March 21, 2019, 12:00pm, 127 Physics
Bianca Viray (University of Washington, Mathematics)
Isolated points on families of curves
Abstract:- Let C be an algebraic curve over Q, i.e., a 1-dimensional
complex manifold defined by polynomial equations. 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 will be suitable for a general audience.
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