## University of Sydney Algebra Seminar

# Atsuo Kuniba (University of Tokyo)

## Friday 16 March, 14:30-15:20, Carslaw 373

### Combinatorics of Bethe ansatz and ultradiscrete integrable systems

My talk will be an exposition of the interplay among crystal base, (theory of quantum group at \(q=0\)), combinatorial version of Bethe ansatz, ultradiscretization of soliton equations, which led to the solution of ultradiscrete integrable systems known as box-ball systems and their generalizations.