# 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 , David Hernandez , Bernhard Keller , Thierry Levasseur , Sophie Morier-Genoud Salle : 001 Adresse : IHP Description

 Orateur(s) Andrea PASCUAL - Uppsala, Titre Self-injective Jacobian algebras from Postnikov diagrams Date 29/10/2018 Horaire 14:00 à 15:00 Résume A Postnikov diagram is a collection of curves in a disk subject to some axioms depending on two integers $1\leq k\leq n$. The arising combinatorics is related to that of the cluster structure of the coordinate ring of the Grassmannian of $k$-subspaces of $\mathbb C^n$. To a Postnikov diagram one can associate a finite-dimensional Jacobian algebra, by work of Oh-Postnikov-Speyer. Baur-King-Marsh later proved that the Jacobian algebra is isomorphic to the stable endomorphism algebra of a cluster tilting object in a 2-Calabi-Yau category introduced by Jensen-King-Su. In this talk I will explain how to characterise self-injectivity of this Jacobian algebra combinatorially. I will also show some new examples of planar self-injective quivers with potential one gets in this way (the terminology is that of Herschend-Iyama), and explain a connection to 2-dimensional Auslander-Reiten theory. Salle 001 Adresse IHP