Seminars & Colloquia Calendar
Swastik Kopparty, Rutgers University
Location: HILL 425
Date & time: Thursday, 21 September 2017 at 7:00PM - 8:00PM
Abstract: Bezout's theorem is a classical theorem of algebra and geometry. The simplest interesting case concerns intersections of algebraic curves in the plane. Given two curves P(X,Y) = 0 and Q(X,Y) = 0 in the plane, where P and Q are polynomials, Bezout's theorem tells us how many points they can intersect in. In this talk I will state a version of Bezout's theorem, sketch a proof , describe some variations and extensions, and give some applications.