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 : format hybride, IHP salle 01 et/ou à distance (Zoom). Info sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse :IHP
Description

Le séminaire est prévu en présence à l'IHP et 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) Chris Brav - HSE Moscou,
Titre Non-commutative string topology
Date10/01/2022
Horaire14:00 à 15:00
Diffusion
RésumeWe explain how relative Calabi-Yau structures on dg functors, more generally relative orientations, give a non-commutative generalisation of oriented manifolds with boundary. We then construct genus zero string topology operations on the relative Hochschild homology HH_*(C,D) of a dg functor D —> C equipped with a relative orientation. More precisely, we prove a relative version of the cyclic Deligne conjecture, stating that this shifted relative Hochschild homology carries a natural structure of framed E_2-algebra. Examples include 1) the functor of induction of local systems for the inclusion of the boundary into an oriented manifold with boundary, in which case the relative Hochschild homology is identified with the relative loop homology 2) the functor of pushforward of coherent sheaves for the inclusion of the anti-canonical divisor into a variety, in which case relative Hochschild homology can be related to differential forms, and 3) various examples coming from representation theory.
Salleformat hybride, IHP salle 01 et/ou à distance (Zoom). Info sur https://researchseminars.org/seminar/paris-algebra-seminar
AdresseIHP
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