The Jacobian Conjecture

Series
Student Algebraic Geometry Seminar
Time
Monday, September 23, 2019 - 1:15pm for 1 hour (actually 50 minutes)
Location
Skiles 254
Speaker
Stephen McKean – Georgia Tech – mckean@math.gatech.eduhttps://people.math.gatech.edu/~smckean3
Organizer
Trevor Gunn

The Jacobian Conjecture is a famous open problem in commutative algebra and algebraic geometry. Suppose you have a polynomial function $f:\mathbb{C}^n\to\mathbb{C}^n$. The Jacobian Conjecture asserts that if the Jacobian of $f$ is a non-zero constant, then $f$ has a polynomial inverse. Because the conjecture is so easy to state, there have been many claimed proofs that turned out to be false. We will discuss some of these incorrect proofs, as well as several correct theorems relating to the Jacobian Conjecture.