Cluster algebras of finite mutation type
3:00pm - 4:00pm /
Friday 20th November 2015
Type: Seminar /
Category: Research
- 01517944001
- Mrs J Seed
- Suitable for: staff and students
- Admission: free
- Book now
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Speaker: Dr. Anna Felikson from Durham University.
Abstract: Cluster algebras were introduced by Fomin and Zelevinsky
in 2002 for studying total positivity of Grassmannians.
Very soon after that it turned out that the notion is connected to
numerous different fields in mathematics (such as Poisson geometry,
representation theory, integrable systems, combinatorics of polytopes,
Teihmuller theory, dilogorithm identities and many others). In this
talk we will introduce cluster algebras and show some connections to
Coxeter groups. More precisely, we will see how an experience in
classification of Coxeter hyperbolic polytopes helped to solve some
classification problem in cluster algebras.
The work is joint with Pavel Tumarkin and Michael Shapiro.
Refreshments from 14:30 on in 304A
Abstract: Cluster algebras were introduced by Fomin and Zelevinsky
in 2002 for studying total positivity of Grassmannians.
Very soon after that it turned out that the notion is connected to
numerous different fields in mathematics (such as Poisson geometry,
representation theory, integrable systems, combinatorics of polytopes,
Teihmuller theory, dilogorithm identities and many others). In this
talk we will introduce cluster algebras and show some connections to
Coxeter groups. More precisely, we will see how an experience in
classification of Coxeter hyperbolic polytopes helped to solve some
classification problem in cluster algebras.
The work is joint with Pavel Tumarkin and Michael Shapiro.
Refreshments from 14:30 on in 304A