Title: A minimaj-preserving crystal on ordered multiset partitions.

 

Abstract:  One of the main objects of study in the Delta Conjecture is the polynomial Val_{n,k}(x;q,t).  In this talk, we will give some background on the conjecture, and focus on two combinatorial aspects of the specialization of Val at q=0.  We will give a proof that the polynomial is Schur-positive via the use of crystal bases, and we will show how the crystal structure leads to a bijective proof that the major index and the so-called minimaj statistic on multiset partitions are equidistributed.