Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 18 (2023), 273 -- 316

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FIVE LECTURES ON CLUSTER THEORY

Ray Maresca

Abstract. In this paper, we will present the author's interpretation and embellishment of five lectures on cluster theory given by Kiyoshi Igusa during the Spring semester of 2022 at Brandeis University. They are meant to be used as an introduction to cluster theory from a representation-theoretic point of view.

2020 Mathematics Subject Classification: 08-02; 16-02
Keywords: clusters; tilting modules, 2-term silting complex; quiver Grassmannian

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Ray Maresca
Brandeis University,
Department of Mathematics,
415 South St. Waltham, MA, USA.
e-mail: raymondmaresca@brandeis.edu

http://www.utgjiu.ro/math/sma