Weil's Conjectures, proposed by André Weil in 1949, are a set of deep hypotheses about the generating functions (known as zeta functions) of algebraic varieties over finite fields, which were later proven and became a cornerstone in the development of modern algebraic geometry and number theory. These conjectures provided profound insights into the topology of algebraic varieties and were instrumental in the development of étale cohomology, leading to the eventual proof by mathematicians such as Bernard Dwork, Alexander Grothendieck, and Pierre Deligne.