00:00:00 / 00:00:00

Appears in collection : Higher Structures in Geometry and Mathematical Physics / Structures élevées en géométrie et physique mathématique

We show how higher (simplicial or differential graded) techniques are naturally required when studying infinitesimal deformation theory. We then outline the strict relationship between derived moduli spaces and the combination of classical moduli spaces plus infinitesimal derived/extended/higher deformation functions, as the former induce the latter, but the latter carry (in an appropriate sense) all the information of the former. In the process, we consider explicit examples and highlight the role of differential graded Lie algebras and their generalisations.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.20038903
  • Cite this video Fantechi, Barbara (20/04/2023). Derived deformation theory - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20038903
  • URL https://dx.doi.org/10.24350/CIRM.V.20038903


Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow


  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
  • Get notification updates
    for your favorite subjects
Give feedback
Loading the web debug toolbar…
Attempt #