Étale Cohomology

This is a 12-week long student seminar series on Étale cohomology and its applications. Starting from the basics, the speakers would try to rigorously motivate the need and essence of étale topology and cohomology, ending with several applications of the theory. Time permitting, we will also discuss the proofs of Weil Conjectures (except Riemann Hypothesis) in explicit details. The primary references would be Milne’s 1980 Book, Artin’s Notes (on Grothendieck Topology) and Deligne’s SGA 4 1/2. Basics from Scheme Theory and Homological Algebra will be assumed.