Seminar on Arithmetic Geometry

Paul Ziegler (TU Darmstadt)

For a family of polynomials in several variables with integral coefficients, the Weil conjectures give a surprising relationship between the geometry of the complex-valued roots of these polynomials and the number of roots of these polynomials “modulo p”. I will give an introduction to this circle of results and an application motivated by the concept of mirror symmetry from physics.

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