====== Simon Joyce (Binghamton) ======

====== The Symmetric Group and Non-Crossing Partitions ======

===== Abstract for the Combinatorics and Algebra Seminars 2008 December 2 =====

I will define a poset relation on the symmetric group S<sub>n</sub>, which gives a natural order-preserving function from S<sub>n</sub> to the lattice of partitions. If we restrict our attention to elements in S<sub>n</sub> under a particular n-cycle, we have a lattice which is isomorphic to the lattice of non-crossing partitions. If time permits I'll talk about some of the implications.

This work is based on a paper by Thomas Brady.


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