Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : à distance / remote
Adresse :IHP

Depuis le 23 mars 2020, le séminaire se tient à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.


Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or

subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.


Orateur(s) Victoria LEBED - Caen,
Titre Homotopical tools for computing rack homology
Horaire14:00 à 15:00
RésumeRacks are certain algebraic structures yielding powerful tools for knot theory, Hopf algebra classification and other areas. Rack homology plays a crucial role in these applications. The homology of a rack is very easy to define (via an explicit chain complex), but extremely difficult to compute. Until recently, the full homology was known only for three families of racks. Together with Markus Szymik, we added a forth family to this list, the family of permutation racks. More importantly, our work unexpectedly brought homotopical methods into the area, and showed that in spite of their abstract flavour they can yield concrete computations. The necessary background on racks and their homology, as well as an overview of the tools previously used for its computation, will be given.
Salleà distance / remote