Weil conjectures 4 Fermat hypersurfaces

This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. The fact that the absolute value of Gauss sums is the square root of p turns out to imply the Riemann hypothesis for these surfaces.

[atomiccompiler]

Thank you for the lecture! I believe the video after this one was made private by accident.