UW Combinatorics and Geometry Seminar: Kevin Liu

In this talk, we consider colored permutation groups ℤm≀Sn, which contain the symmetric groups Sn≅ℤ1≀Sn and the signed symmetric groups Bn≅ℤ2≀Sn as special cases. Like in Sn, colored permutations in ℤm≀Sn have a notion of cycle type that classifies its conjugacy classes. We explore the distributions and moments of statistics on ℤm≀Sn when refined by cycle type, with particular emphasis on the descent and flag-major index statistics when there are no "short" cycles. This talk is based on joint works with Jesse Campion Loth, Michael Levet, Sheila Sundaram, and Mei Yin.