An enhancement of some algebraic models for rational spaces

Speaker(s)

Bruno Stonek

Affiliation

MIM UW

Language of the talk

English

Date

Nov. 18, 2026, 10:30 a.m.

Room

room 4070

Seminar

Seminar Algebraic Topology

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I will start by recalling three classical models for spaces in rational homotopy theory: Sullivan's algebraic models and Quillen's coalgebraic and Lie models. Neisendorfer connected both of these approaches and established their equivalence, in the form of equivalences of homotopy categories. This raises the question: can they be lifted to equivalences of the whole homotopy theories? The answer is yes, but there are some subtleties.

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