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# Doing geometry by counting points

## January 26 at 15:30 – 17:00 CET

**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.

Zoom (635 7328 0984, Password: smallest six digit prime).