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 :

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) Mikhail Gorsky - Amiens,
Titre Braid varieties, positroids, and Legendrian links
Horaire14:00 à 15:00
RésumeI will discuss a class of affine algebraic varieties associated with positive braids, their cluster structures and their relation to open Bott-Samelson varieties. First, I will explain our motivation which comes both from symplectic topology and from the study of HOMFLY-PT polynomials. Then we will discuss how the study of DG algebras associated with certain Legendrian links may help us to better understand the algebraic geometry of Richardson varieties in type A. I will illustrate our results and conjectures concerning this interplay between topology and algebraic geometry with the example of open positroid varieties in Grassmannians. If time permits, I will briefly explain conjectural relations between certain stratifications of braid varieties and cluster structures on their coordinate rings. This is joint work with Roger Casals, Eugene Gorsky, and José Simental.
SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar