Student Arithmetic Geometry Seminar: The Riemann hypothesis for curves over finite fields
Seminar | November 22 | 4:10-5 p.m. | 891 Evans Hall
Rohan Joshi, UC Berkeley
In the 1940s, Weil proved an analogue of the Riemann hypothesis for curves over finite fields. This result became the basis for the celebrated Weil conjectures, which give a bound on the number of points of a smooth projective variety over a finite field. I will give an exposition of the Weil conjectures for curves and sketch a proof of the Riemann hypothesis for curves along the lines of Weil's original proof using intersection theory.