Speaker: Felix Lazebnik Title: Parabolas: Myths, Facts, and Yiheyuan Abstract: In this talk we consider several myths and several facts related to parabolas. In particular, we discuss the following questions: Given n >= 6 points in a plane such that every 5 of them lie on an parabola. Will all n points lie on an parabola? What if we ask a similar question for ellipses or for hyperbolas? And what does Yiheyuan have to do with all this? It is a joint work with Shangyou Zhang.