Infinity structures and higher products in rational homotopy theory – José Manuel Moreno-Fernández (Universidad de Málaga)


Sala Seminari (Dip. Matematica).


The goal of this talk is to understand how L-infinity structures on the rational homotopy groups of a simply connected space behave with respect to the higher Whitehead products. To do so, I will give a self-contained introduction to the relevant facts of rational homotopy theory, via examples, computations and intuition. If time permits, I will sketch how cohomology algebras over a field, endowed with an A-infinity algebra structure, behave with respect to the higher Massey products. I will make the talk accessible for attendants with diverse backgrounds and minimal prerequisites, with interests in algebraic topology or homotopy theory broadly understood. Sito web:

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