MATH4123 代数学特論II ・ 代数学
特論C Topics in Algebra: Introduction to Cluster Algebra Time and Venue 月3 、6号館-302 (Monday 13:00 - 14:30. Room 302, Building No. 6, North Campus, Kyoto University) Course Description The
purpose of the course is to give a gentle introduction to the theory of
Cluster Algebra. Cluster Algebra was introduced by S. Fomin and A.
Zelevinsky around 2000 as a tool for studying total positivity and dual
canonical bases in Lie theory. The rapid development of the theory of
Cluster Algebra in recent years revealed relations to diverse area of
mathematics, including commutative and non-commutative algebraic
geometry, quiver representations, discrete dynamical systems and
Teichmuller theory. I hope students
who successfully complete this course will acquire a working knowledge
of Cluster Algebras which is central to many research area in
Mathematics and Physics.
References
Homework
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