
СЕМИНАРЫ 
Некоммутативная геометрия и топология



Quillen rational homotopy theory revisited A. Murillo^{} 

Аннотация: Having as motivation the Deligne’s principle by which every deformation functor is governed by a differential graded Lie algebra, we build a homotopy theory for these algebras which extend the classical Quillen approach to any topological space and is based in a new model category structure for (complete) differential graded Lie algebras. The core of this structure lies in the construction of the "EckmannHilton dual" of the classical differential forms on the standard simplices. In fact, the nonexistence of this object in the Lie setting has puzzled (rational) homotopy theorists since the beginning of the subject. 