Seminar: Simplicial topological spaces, Curtis spectral sequence, and Free Lie functors

Time:

Venue/Location: Vietnam Institute for Advanced Study in Mathematics (VIASM), 161 Huynh Thuc Khang Street, Hanoi.

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.

Mode of participation: 

Link Zoom: https://zoom.us/j/99538956927?pwd=w8uYVfqXhbbEoDIoc0vwDNwwZloLvZ.1

Meeting ID: 995 3895 6927

Passcode: 2026

Contact: Ms. Tran My Anh, Email: tmanh@viasm.edu.vn