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Rational homotopy theory, I

Posted in
José Moreno-Fernández
Universidad de Malaga/MPIM
Mon, 14/01/2019 - 14:15 - 15:45
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

Rational homotopy theory is a branch of homotopy theory focused on the study of spaces “modulo torsion”. Roughly, this consists of two steps. First, one “kills” all torsion phenomena of a given space in a nice way – by a process called the “rationalization”, or “localization at the empty set of primes”. Second, one finds algebraic models that faithfully capture the homotopy type of this rationalization, and which are amenable to computations. 

This brief course is a very friendly and basic introduction to rational homotopy theory. 
Lecture 1: Rationalization. Sullivan PL-forms and minimal models.
Lecture 2. Topology of Sullivan and Quillen models. Formality and coformality.
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