Categorification of the cluster algebra structure of the quantum unipotent coordinate ring via quiver Hecke algebras

Seminar series

Algebraic Geometry Seminar

Date

Tue, 14 May 2019
15:30

Location

Speaker

Masaki Kashiwara

Organisation

Kyoto

The quantum unipotent coordinate ring has a cluster algebra structure. On the other hand, this ring is isomorphic to the Grothendieck ring of the module category of quiver Hecke algebras (QHA). We can prove that cluster monomials of the quantum unipotent coordinate ring correspondi to real simple modules. This is a joint work with Seok-Jin Kang, Myungho Kim and Se-jin Oh.