Obstructions to nice branch sets for branched coverings

Series
Geometry Topology Student Seminar
Time
Wednesday, October 9, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Sudipta Kolay – Georgia Tech
Organizer
Agniva Roy

It is a classical theorem of Alexander that every closed oriented manifold is a piecewise linear branched covering of the sphere. In this talk, we will discuss some obstructions to realizing a manifold as a branched covering of the sphere if we require additional properties (like being a submanifold) on the branch set.