Presenter: Travis Scrimshaw (UQ)

Crystal bases were introduced by Kashiwara in the 1990s as a way to describe representations of Lie algebras using combinatorics. A number of (sometimes difficult) purely combinatorial results turn out to have natural interpretations coming from representation theory. In the first part of this talk, we will discuss some of these results on tableaux using crystals. The second part will be an application of crystals to a discrete dynamical system called the box-ball system, an ultradiscrete version of the Korteweg-de Vries (KdV) equation. This talk will build everything up from the basic combinatorial operations, so no knowledge of algebra, PDEs, or tableaux is necessary.

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