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 : 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.

 


Orateur(s) Isambard Goodbody - ,
Titre Reflexivity and Hochschild Cohomology
Date30/09/2024
Horaire14:00 à 15:00
Diffusion
Résume

Reflexivity is about a duality between two kinds of derived categories appearing in algebra and geometry. The motivating examples are the bounded derived category of a finite dimensional algebra vs its perfect complexes and the bounded derived category of a projective scheme vs its perfect complexes. In the smooth case, these categories coincide but even in the non-smooth case these two categories share some common information. In this talk I'll provide a conceptual justification for this phenomenon. The main result is a monoidal characterisation of reflexive DG-categories as introduced by Kuznetsov and Shinder. As applications of this new perspective one can prove invariance results for Hochschild cohomology, derived Picard groups and a bijection between semi-orthogonal decompositions.

This talk will take place in hybrid mode at the Institut Henri Poincaré.

SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse
© IMJ-PRG