The Weil Conjectures are a set of profound statements made by André Weil in the 1940s, concerning the relationship between algebraic geometry and number theory. They propose deep connections between the number of rational points on algebraic varieties over finite fields, their zeta functions, and certain cohomological properties. The conjectures revolutionized the understanding of these areas and laid the groundwork for significant developments in modern mathematics, linking concepts like functional equations, l-adic cohomology, and motives.
congrats on reading the definition of Weil Conjectures. now let's actually learn it.