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Некоммутативная геометрия и топология
24 мая 2018 г. 16:45–18:30, г. Москва, МГУ им. Ломоносова, ГЗ, механико-математический факультет.
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Quillen rational homotopy theory revisited
A. Murillo |
Количество просмотров: |
Эта страница: | 133 |
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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 "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.
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