Computing Intersection Numbers

This lecture focuses on computing intersection numbers using a theorem that describes the properties of these numbers. The instructor explains an algorithmic approach to compute intersection numbers for any pair of polynomials, emphasizing the importance of properties 1 to 7. Through a detailed example, the lecture demonstrates how to apply the algorithm to determine intersection numbers, showcasing the intricacies involved in the computation process. The discussion also touches upon the uniqueness of intersection numbers and the significance of property 5 in the computation. The lecture concludes by hinting at a future discussion on projective curves and their intersections, providing a glimpse into the broader applications of the concepts covered.