In this talk, I would like to introduce some reduced expressions arising from (twisted) Coxeter elements. From the reduced expressions, we can investigate the representation theories over quantum affine algebras and KLR algebras via some combinatorial objects, called (twisted) AR-quivers. Interestingly, we can observe similarities of some categories over quantum affine algebras whose generalized Cartan matrices are transpose to each other. Such similarities were observed by Frenkel and Hernadez for the first time


About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 3pm to 3.50pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.

Venue

Priestley Building (#67)
Room: 
442