Skip to main content

Homotopy theory of complete Lie algebras

Posted in
Speaker: 
Aniceto Murillo
Affiliation: 
Universidad de Málaga
Date: 
Thu, 2019-05-09 09:30 - 10:30
Location: 
MPIM Lecture Hall

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 "Eckmann-Hilton dual" of the classical differential forms on the standard simplices. In fact, the non-existence of this object in the Lie setting has puzzled (rational) homotopy theorists since the beginning of the subject. Joint work with Urtzi Buijs, Yves Félix and Daniel Tanré.
 

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A