### Problems, Algorithms, and Complexity in Algebraic Geometry

- Series
- ACO Student Seminar
- Time
- Friday, November 18, 2016 - 13:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Tim Duff – School of Mathematics, Georgia Tech

At the intersection of computability and algebraic geometry, the
following question arises: does an integral polynomial system of
equations have any integral solutions? Famously, the combined work of
Robinson, Davis, Putnam, and Matiyasevich answers this in the negative.
Nonetheless, algorithms have played in increasing role in the
development of algebraic geometry and its many applications. I address
some research related to this general theme and some outstanding
questions.