Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds

Series
Geometry Topology Seminar
Time
Monday, October 26, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Michelle Chu – University of Illinois at Chicago – michu@uic.eduhttps://michu.people.uic.edu/
Organizer
Miriam Kuzbary

The smallest volume cusped hyperbolic 3-manifolds, the figure-eight knot complement and its sister, contain many immersed but no embedded closed totally geodesic surfaces. In this talk we discuss the existence or lack thereof of codimension-1 closed embedded totally geodesic submanifolds in minimal volume cusped hyperbolic 4-manifolds. This talk is based on joint work with Alan Reid.