Title: The fundamental theorem of algebra, a topological proof.
Abstract: The fundamental theorem of algebra says that every polynomial of degree n>0, with real or complex coefficients has at least one (real or complex) root. Despite the elementary formulation, mathematicians spent quite a few years in order to form a complete proof. Since then there are several proofs using tools from different areas of mathematics. In this talk we present an elegant proof which uses basic concepts from algebraic topology such as homotopy and the fundamental group of the unit circle.