In how many points does a curve in the plane intersect a random straight line? The answer to this question is an invariant of the curve called "degree". The notion of degree extends to higher dimensional shapes that are defined in terms of polynomials (varieties) and it is a central invariant lying in the interplay between Algebraic Geometry and Commutative Algebra. In this talk I will give an overview of this theory and its generalization to varieties in multi-spaces. In particular, I will report on recent joint work with Castillo, Cid-Ruiz, Li, and Zhang.
Meeting ID: 991 7926 6453