Intersection theory and the Jacobian Conjecture

Authors

William Adams, Florida State University

Document Type

Presentation Abstract

Presentation Date

12-12-2003

Abstract

Intersection theory's goal is to "count" the number of ways geometric objects intersect each other. This can be applied to enumerative geometry questions (such as "How many conics go through 4 points and are tangent to a given line?"), or more geometric enterprises (calculating the Euler characteristic of a space).

In this talk I will give a brief introduction to the ideas of the subject, with a few examples (the intersection ring of projective n-space, the answer to the above conics question, and perhaps another reason why the Euler characteristic of the sphere is 2).

Additional Details

Friday, 12 December 2003
4:10 p.m. in Skaggs 117

Recommended Citation

Adams, William, "Intersection theory and the Jacobian Conjecture" (2003). Colloquia of the Department of Mathematical Sciences. 156.
https://scholarworks.umt.edu/mathcolloquia/156