| 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 : | Info sur https://researchseminars.org/seminar/paris-algebra-seminar |
| Adresse : | |
| 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.
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| Orateur(s) | Mattia ORNAGHI - Ben Gurion University, |
| Titre | Localizations of the category of $A_{\infty}$-categories and Internal Homs |
| Date | 28/10/2019 |
| Horaire | 14:00 à 15:00 |
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| Diffusion | |
| Résume | In the first part of the talk, we prove that the localizations of the categories of dg categories, of cohomologically unital and strictly unital $A_\infty$-categories with respect to the corresponding classes of quasi-equivalences are all equivalent. As an application, in the second part, we give a complete proof of a claim by Kontsevich stating that the category of internal Homs for two dg categories can be described as the category of strictly unital $A_\infty$-functors between them. This is a joint work with Prof. A. Canonaco and Prof. P. Stellari arXiv:1811.07830. |
| Salle | Info sur https://researchseminars.org/seminar/paris-algebra-seminar |
| Adresse |