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 : 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
Date25/05/2020
Horaire14:00 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.
Salleà distance / remote
AdresseIHP
© IMJ-PRG