Soliton phase shifts, interacting particles and Lie Theory
Classical constructions from soliton theory are making a reappearance in many novel contexts within mathematical physics and representation theory. One of the most notable recent examples of this concerns cellular automata known as box-ball systems (BBS). We present results related to the phase shift phenomena of interacting solitons in this BBS setting and, time permitting, will indicate some of its potential applications. This is joint work with Jonathan Ramalheira-Tsu that is an outgrowth of work in his recent PhD thesis.