Introduction to cluster algebras
Student No.:50
Time:Mon/Wed 8:00-9:50, 2017-4-10~2017-6-7
Instructor:Yin Tian  [Tsinghua University]
Place:Conference room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2017-4-10
Ending Date:2017-6-7





Cluster algebras are introduced by Fomin and Zelevinsky in 2002. Their original motivation was to study canonical bases and total positivity in Lie theory. Cluster algebras are now connected to various fields, including representation theory, combinatorics, mathematical physics, etc. This course will give an elementary introduction to this topic, with emphasis on the connection to Teichmuller theory.





Basics in Lie theory will be helpful, but not required.





1.      Fomin and Zelevinsky, Cluster algebras: Notes for the CDM-03 conferences, International Press, 2004.


2.      Fomin and Zelevinsky, Cluster algebras I: Foundations, J. Amer. Math. Soc. 15 (2002), 497-529


3.      S. Fomin, M. Shapiro, and D. Thurston, Cluster algebras and triangulated surfaces. Part I: Cluster complexes, Acta Math. 201 (2008), 83-146.


4.      S. Fomin and D. Thurston, Cluster algebras and triangulated surfaces. Part II: Lambda Lengths, preprint (2008),