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Documents  16E35 | enregistrements trouvés : 5

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Research School;Algebra;Combinatorics

In this course I will first introduce cluster algebras associated with a triangulated surface. I will then focus on representation of quivers, and show the strong link between cluster combinatorics and representation theory. The aim will be to explain additive categorification of cluster algebras in this context. All the notions will be illustrated by examples.

13F60 ; 16E35 ; 16G20 ; 18E30

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Research talks

$T$-structures on derived categories of coherent sheaves are an important tool to encode both representation-theoretic and geometric information. Unfortunately there are only a limited amount of tools available for the constructions of such $t$-structures. We show how certain geometric/categorical quantum affine algebra actions naturally induce $t$-structures on the categories underlying the action. In particular we recover the categories of exotic sheaves of Bezrukavnikov and Mirkovic.
This is joint work with Sabin Cautis.
$T$-structures on derived categories of coherent sheaves are an important tool to encode both representation-theoretic and geometric information. Unfortunately there are only a limited amount of tools available for the constructions of such $t$-structures. We show how certain geometric/categorical quantum affine algebra actions naturally induce $t$-structures on the categories underlying the action. In particular we recover the categories of ...

14F05 ; 16E35

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Research School;Algebra;Combinatorics

In this course I will first introduce cluster algebras associated with a triangulated surface. I will then focus on representation of quivers, and show the strong link between cluster combinatorics and representation theory. The aim will be to explain additive categorification of cluster algebras in this context. All the notions will be illustrated by examples.

13F60 ; 16E35 ; 16G20 ; 18E30

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research School;Algebra;Combinatorics

In this course I will first introduce cluster algebras associated with a triangulated surface. I will then focus on representation of quivers, and show the strong link between cluster combinatorics and representation theory. The aim will be to explain additive categorification of cluster algebras in this context. All the notions will be illustrated by examples.

13F60 ; 16E35 ; 16G20 ; 18E30

... Lire [+]

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- xvi; 120 p.
ISBN 978-2-85629-844-2

Astérisque , 0383

Localisation : Périodique 1er étage

décomposition d'un cylindre # D-module # catégorie dérivée # module filtré # objet filtré # filtration # topologie de Grothendieck # cohomologie modérée # catégorie quasi-abélienne # faisceau # espace de Sobolev # ensemble sous-analytique # topologie sous-analytique

16E35 ; 16W70 ; 18A25 ; 18D10 ; 18D35 ; 18F20 ; 32B20 ; 32C05 ; 32C38 ; 32S60 ; 46E35 ; 58A03

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