# 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 : à distance / remote Adresse : IHP Description Depuis le 23 mars 2020, le séminaire se tient 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) Hironori OYA - Paris, Titre Newton-Okounkov polytopes of Schubert varieties arising from cluster structures and representation-theoretic polytopes Date 25/05/2020 Horaire 14:00 à 15:00 Diffusion Résume The theory of Newton-Okounkov bodies is a generalization of that of Newton polytopes for toric varieties. One of the ingredients for the definition of a Newton-Okounkov body is a valuation on the function field of a given projective variety. In this talk, we consider Newton- Okounkov bodies of Schubert varieties defined from specific valuations which generalize extended g-vectors in cluster theory. We show that they provide polytopes unimodularly equivalent to string polytopes and Nakashima-Zelevinsky polytopes, both of which are well-known polytopes in representation theory. Indeed, this framework allows us to connect string polytopes with Nakashima-Zelevinsky polytopes by tropicalized cluster mutations. This talk is based on a joint work with Naoki Fujita. Salle à distance / remote Adresse IHP