Kirk Lecture: Cluster Algebras and Many Related Notions on One Picture

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• Gordana Todorov (Northeastern University)
• Monday 01 November 2021, 16:00-17:00
• Seminar Room 1, Newton Institute.

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CAR - Cluster algebras and representation theory

The workshop CAR at INI is based around the notion of cluster algebras. It was the introduction of cluster algebras by Fomin and Zelevinsky that inspired and created very many beautiful connections between various fields of mathematics(and physics). This talk will be about one single picture as an example for many
different interpretations. First, there will be notions from cluster algebras: cluster variables, clusters, c-vectors, mutations, maximal green sequences and then there will be related notions: cluster categories, cluster titling objects, semi-invariants, stability conditions, picture groups, exceptional sequences, rooted trees, and possibly some more.

This talk is part of the Isaac Newton Institute Seminar Series series.

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