# Intersection numbers to Max Noether’s fundamental theorem

Speaker : Pranav Haridas

Date : 23rd April, 2014 (Wednesday)

Time : 09:00 pm – 10:00 pm

Venue : Lecture Hall I, Department of Mathematics

Abstract : It is a famous theorem by Pascal that if a hexagon is inscribed in an irreducible conic, then the opposite sides meet in collinear points. We shall study a few such geometric results from an algebraic perspective. In the process, we will define the Intersection number of two plane curves at a point in $\dpi{300}\inline \mathbb{A}^{2}$, state and prove B$\dpi{300}\inline \'{e}$zout’s theorem. We will conclude by proving Max Noether’s fundamental Theorem and a few of its corollaries and applications.