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An introduction to cluster algebras Schiffler, Ralf

Description

Cluster algebras are commutative algebras with a special combinatorial structure. They originated in Lie theory in the context of canonical bases and total positivity, but are now connected to a number of areas including combinatorics, representation theory, knot theory, integrable systems and algebraic geometry. In this talk, we give an overview of the theory and highlight a recent connection to the joint spectrum of representations of the symmetric group.

Item Metadata

Title
An introduction to cluster algebras
Creator
Schiffler, Ralf
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-04-02T15:29
Description
Cluster algebras are commutative algebras with a special combinatorial structure. They originated in Lie theory in the context of canonical bases and total positivity, but are now connected to a number of areas including combinatorics, representation theory, knot theory, integrable systems and algebraic geometry. In this talk, we give an overview of the theory and highlight a recent connection to the joint spectrum of representations of the symmetric group.
Extent
64.0 minutes
Subject
Mathematics; Operator theory; Group theory and generalizations; Functional analysis
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of Connecticut
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2019-09-30
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0381037
URI
http://hdl.handle.net/2429/71801
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International