We will continue the study of deformation problems by getting to a modern defintion of a deformation functor. These are functors from local Artinian k-algebras to simplicial sets. We will see how the Maurer-Cartan equation provides a such a deformation functor out of a dgLa.
The talk includes an introduction to the necessary tools on simplicial sets.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/4234
[3] https://www.mpim-bonn.mpg.de/de/node/8756