The Reduced Deligne Groupoid

  Amnon Yekutieli, BGU 

Abstract: Many deformation problems in algebra and geometry are 
controlled by DG (differential graded) Lie algebras. The Deligne 
groupoid associated to a nilpotent DG Lie algebra (introduced in 
1988 in a paper by Goldman-Millson) classifies deformations, 
and gauge equivalences between them. 

In a recent paper I introduced the reduced Deligne groupoid, 
which allows the treatment of unbounded DG Lie algebras. My 
work also applies to pronilpotent DG Lie algebras. 

In this talk I will explain the definitions and results mentioned 
above, and will also briefly discuss L-infinity quasi-isomorphisms.


For full details see the lecture notes 
  http://www.math.bgu.ac.il/~amyekut/lectures/MC-complete/notes.pdf
or the paper arXiv:1103.1035.

(March 2011)