10 March 2003 TWIGS Seminar, U Mass Amherst Frank Sottile, UMass Amherst What Is a Real Algebraic Curve? Abstract: A real algebraic plane curve is the set of real solutions to a polynomial equation f(x,y)=0. Their topology and classification was one of Hilbert's problems in 1900, and their study continues to be an active area of mathematical research. For example, plane curves will play a major role in Winter/Spring 2004 program at the Mathematical Sciences Research Institute on Topological aspects of real algebraic varieties. This talk will introduce you to them and to the beginnings of their study.