How to squeeze low dimensional topology into surfaces

Ever since the 19th century, surfaces have been well
understood objects. However, even today they remain at the center of
low dimensional topology. In this talk I will describe how singular
surface fibrations can be used to describe 3- and 4-dimensional
manifolds in terms of curve configurations on surfaces and indicate
what can be done with these descriptions.

You can watch this lecture here: 

https://www.youtube.com/watch?v=xJySMGahwjM