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) | Severin Barmeier - , |
Titre | Deformations of gentle algebras and gluing of Fukaya categories of surfaces |
Date | 13/01/2025 |
Horaire | 14:00 à 15:00 |
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Diffusion | |
Résume | Gentle algebras can be obtained by gluing quivers of type A with square-zero relations along vertices. This observation has a beautiful geometric incarnation: partially wrapped Fukaya categories of smooth surfaces can be obtained by gluing derived categories of type A quivers. In this talk, I will explain how this can be generalized to surfaces with orbifold singularities and how this relates to A∞ deformations of graded gentle algebras. This interplay between the geometry of surfaces and algebraic deformation theory has two fascinating consequences. On the one hand, it leads to the proof of (a singular surface version of) a conjecture of Kontsevich on the local-to-global properties of Fukaya categories of noncompact manifolds. On the other hand, it sheds light on the relationship between deformations of Fukaya categories and partial compactifications (as advocated in Seidel's ICM 2002 address) in the presence of stop data. This talk is based on arxiv.org/abs/2407.16358 joint with Sibylle Schroll and Zhengfang Wang. This talk will take place in hybrid mode at the Institut Henri Poincaré. |
Salle | Info sur https://researchseminars.org/seminar/paris-algebra-seminar |
Adresse |