第6回

日時

2020年7月17日(金) 15:00~16:30

場所

Zoom

講演者

水野勇磨氏(東京工業大学)

タイトル

T-systems and Y-systems in cluster algebras

アブストラクト

We study T-systems (and Y-systems) arising from cluster algebras. We find that these systems are characterized by triples of matrices, which we call T-data, that satisfy a certain symplectic relation. We show that any T-datum corresponding to a periodic T-system has simultaneous positivity, which can be considered as a generalization of the characterization of finite type Cartan matrices. As an application, we discuss the relation between periodic Y-systems and Nahm’s conjecture.

講演スライド