[PAST EVENT] Mathematics Colloquium: Santana Afton (Georgia Tech)
Access & Features
- Free food
- Open to the public
How Groups, Geometry, and Arithmetic Come Together
There is a beautiful family of groups that appear naturally in the wild all across mathematics -- relating number theory, dynamics, topology, and geometric group theory -- called free-by-cyclic and surface-by-cyclic groups. I will present a number of examples of these groups and their relationship to geometry, discussing why I find their study so deeply motivating along the way. The talk will end with some of my own work attempting to understand a probabilistic model for these groups in the context of arithmetic geometry and number theory.
Refreshments provided outside of Jones 100 starting at 1:30 pm.