Surface bundles in topology, algebraic geometry, and group theory

Geometry Topology Student Seminar
Wednesday, September 18, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Justin Lanier – Georgia Tech
Agniva Roy

I will give an introduction to surface bundles and will discuss several places where they arise naturally. A surface bundle is a fiber bundle where the fiber is a surface. A first example is the mapping torus construction for 3-manifolds, which is a surface bundle over the circle. Topics will include a construction of 4-manifolds as well as section problems related to surface bundles. The talk will be based on a forthcoming Notices survey article by Salter and Tshishiku.