L-polynomials of Curves over Finite Fields
Speaker: Professor Gary McGuire (UCD)
Time: 4.00PM
Date: Monday October 6th 2014
Location: UCD School of Mathematical Sciences Seminar Room, Ag. 1.01
Abstract:
We consider the issue of when the L-polynomial of one curve divides the L-polynomial of another curve. Previous results in this direction use theorems of Kleiman-Serre and Kani-Rosen. We will give an introduction to this topic, and present some new results relating this divisibility property directly to the number of rational points on the two curves. This is joint work with Omran Ahmadi (IPM, Tehran) and Antonio Rojas Leon (University of Seville).
Series: UCD Algebra and Number Theory
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