Cluster algebras and related topics

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mathematical physics commutative algebra algebraic geometry combinatorics category theory K-theory and homology quantum algebra rings and algebras representation theory symplectic geometry quantum physics

Morningside Center of Mathematics, Chinese Academy of Sciences

Audience:	Researchers in the topic
Conference dates:	02-Aug-2021 to 06-Aug-2021
Organizers:	Xueqing Chen, Fang Li, Fan Qin, Linhui Shen, Bin Zhu
Curator:	Bernhard Keller*
	*contact for this listing

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For the Zoom link, please visit the external home page of the conference.

Cluster algebras were introduced by Fomin and Zelevinsky at the beginning of this century. Since then, they have turned out to be related to many areas of mathematics, such as combinatorics, representation theory of quivers and finite-dimensional algebras, algebraic geometry (in particular, Donaldson-Thomas theory and mirror symmetry), mathematical physics (in particular string theory and the study of scattering amplitudes), Poisson geometry, higher Teichmuller theory. Some important problems in this theory, including the conjecture on positivity of cluster variables and the problem of additive and monoidal categorification of cluster algebras, are strongly related to canonical/upper global bases in Lie theory, representation theoriy of quantum groups and KLR algebras, ... . This workshop aims to be a platform for scholars working on cluster algebras and related topics allowing them to present their results and exchange ideas.

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