Title: Weil conjectures - Rationality and Functional Equation
Abstract: In this talk we will assume that certain cohomology theories exist, and demonstrate how to prove rationality and functional equation of the zeta function. A large part of the talk will be using tools from linear algebra and algebraic topology. We will mostly be following the nice set of notes available here:
http://www.math.lsa.umich.edu/~mmustata/lecture5.pdf