Enriching Bézout’s Theorem

Series
Student Algebraic Geometry Seminar
Time
Thursday, September 27, 2018 - 1:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Stephen McKean – Georgia Tech
Organizer
Trevor Gunn
Bézout’s Theorem is the classical statement that generic curves of degree c and d intersect in cd points. However, this theorem requires that we work over an algebraically closed field. Using some tools from A^1-algebraic topology, we will give an arithmetic generalization of Bézout’s Theorem. We will also describe the geometric implications of this generalization over the reals.