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SISSA Colloquium: Analytic and Arithmetic Solutions of Algebraic Equations

A lecture by Jean-Pierre Demailly of CNRS, Grenoble

3 October, 4 pm
SISSA, "P. Budinich" Main Lecture Hall

Algebraic geometry is the art of solving polynomial equations. Greek mathematicians already considered "Diophantine equations", which consist of finding integer or rational solutions. It turns out that this problem is deeply connected to the geometry of the set of complex points and to the existence of entire analytic solutions, and is usually governed by the degrees of the polynomials involved. Demailly will describe informally some recent results on these questions.

SISSA Colloquia are part of the celebration of the School's 40th anniversary. They are intended as a moment of interdisciplinary exchange and a way to reaffirm the sense of belonging to our community