The theory of cluster algebras and its applications
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Fang Li
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Zhejiang University
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Peoples Rep of China
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Xueqing Chen
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University of Wisconsin-Whitewater
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USA
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Min Huang
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Sun Yat-sen University (Zhuhai Campus)
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Peoples Rep of China
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Introduction:
| | Cluster algebra was introduced by Fomin and Zelevinskyin 2002, since then it has beenrelated to various areas in mathematics and physics, such as Combinatorics, Representation Theory, Topology, Algebraic Geometry,Poisson Geometry, Teichmuller Theory, Dynamical System and Mathematical Physics. The theory of cluster algebras has developed into one of the most active research fields in mathematics and has influenced the development of canonical bases of Lie theory, Representation Theory of Quivers, Categorification, Quantum Groups and KLR Algebras, etc.
We are eager to extend invitations to both seasoned experts and emerging talents in the field of cluster algebras and related areas, broadly construed. Our focus will center on the latest developments in the theory of cluster algebra and its applications. This gathering is set to offer an ideal platform for fostering collaboration across diverse domains, propelling our collective understanding of these subjects and their profound interconnections to newer horizons. Potential topics for discussion encompass advancements in cluster algebras, quantum cluster algebras, cluster categories, monoidal categories, cohomological Hall algebras, and the interplay between cluster theory and Lie theory. We expect that this conference will promote the progress of some key issues in the frontier of mathematics.
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