Seminar: Simplicial topological spaces, Curtis spectral sequence, and Free Lie functors
Time: 14:00 to 15:45 (GMT+7, Hanoi Time) on March 9, 11, 16, and 18, 2026
Speaker: Prof. Lionel Schwartz, Sorbonne Paris North University, France
Part 1: Simplicial topological spaces
Part 2: Curtis spectral sequence,
Part 3: Free Lie functors (1)
Part 4: Free Lie functors (2)
Abstract: In these talks I will explain the construction of the Curtis/Rector spectral sequences for the unstable homotopy of spaces (in particular of spheres) and, at least, state the convergence theorem for the spectral sequences. Recall that these (old) constructions led to the Lambda algebra and where more recently used by Breen and Mikhailov.
In the first part a few basis on simplicial homotopy and the description of Kan's loop group functor will be given.
In second part the first page of the spectral sequences will be discussed, this involves discussion about free Lie algebras and free p-restricted
Lie algebras, as well (if there is enough time) as the Curtis and/or the Sandling-Tahara filtrations on these algebras.
For more information: https://viasm.edu.vn/hdkh/seminar-simplicial-topological-spaces-curtis-spectral-sequence-and-free-lie-functors
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Mini-course: Polynomial functors on free groups and on topological spaces after Arone
Time: 14:30 to 16:00 (GMT+7, Hanoi Time) on March 25, 27, 2026
Speaker: Prof. Aurélien Djament, Sorbonne Paris North University, France;
Abstract: These talks will give a survey of recent results of Arone (arXiv 2025) on polynomial functors from free groups to chain complexes of abelian groups, with application to computation of extension groups between functors from free groups fo abelian groups which recover earlier Vespa's computations and allow to go further. This is mainly motivated by the use of such Ext groups to compute stable cohomology of automorphism groups of free groups with some twisted coefficients. This approach uses excessive functors à la Goodwillie.
For more information: