France-Vietnam homology theory seminar on line

The seminar takes place every two weeks on Tuesday

Winter time 2:30 pm to 3:30 pm Paris time, 8:30 pm to 9:30 pm Hanoi time

Summer time 3:30 pm to 4:30 pm Paris time, 8:30 pm to 9:30 pm Hanoi time.

12/03 Nguyễn Thế Cường Topological realization of certain resolution of the singular cohomology of BS3 (you can access the talk here)

26/03 Nguyễn Thế Cường Topological realization of certain resolution of the singular cohomology of BO(2) (you can access the talk here)

03/04 và 17/04 Lionel Schwartz  Homological suspension for certain actions of (Z/2)n

22/04/2024 D.H.H. Nguyen & L. Schwartz La suspension homologique pour les CW-complexes finis quotients d’actions libres de (Z/2)n (you can access the talk here)

30/04/2024 N. Charlottesvile Constructing Brown-Gitler spectra and Aaron’s spectral sequence.

Abstract: The tower associated to the functor that sends a spectrum X to the suspension spectrum of its 0th space is very interesting for many reasons. Here we use it to prove a curious fact: if a connected spectrum admits a map to a suspension spectrum that is monic in mod p homology, then it admits a map from a suspension spectrum that is epic in mod p homology.

This is then used to give a quick proof that the dual Brown-Gitler spectra T(n) are retracts of a suspension spectrum, a result first proved differently and independently by Lannes and Goerss.

14/05/2024 L. Schwartz (IRL FVMA) Introduction to simplicial sets, the construction G of Kan and Curtis’ spectral sequence.

04/06/2024 L. Schwartz Bases de Hall et filtration de Curtis  algèbre de Lie libres

11/06/2024 Pham Van Tuan (Université des Sciences Hanoi) Correspondance de Dold-Kan et dérivés de Dold-Puppe des foncteurs non-additifs.

17/09/2024 (8.30 pm Ha Noi time) Lionel Schwartz (IRL FVMA) Dérivés des foncteurs de Lie I (d’après Bousfield et Kan) (talk I)

01/10/24 (8:30 pm Ha Noi time) Andrew Baker (University of Glasgow) Finite sub-Hopf algebras of the Steenrod algebra


Abstract: the mod 2 Steenrod algebra A is an infinite dimensional Hopf algebra which plays a central part in stable and unstable homotopy theory. From an algebraic perspective it seems hard to work with as it is local and most elements are nilpotent. However it is a union of an increasing family of finite dimensional sub-Hopf algebras A(n) and these provide leverage for both structural and computational results. I will discuss these and the focus on two important cases A(1) and A(2) which are closely related to the 2-local Ering spectra k O (connective real K-theory) and tmf (connective topological modular forms. Indeed they play the role of Steenrod algebras in the world of module spectra over these.

22/10/2024 (8.30 pm Ha Noi time) Lionel Schwartz (IRL FVMA) Dérivés des foncteurs de Lie I (d’après Bousfield et Kan) (talk II)