## Event Date:

Wednesday, February 1, 2017 - 2:00pm to 3:00pm

## Event Location:

- 4607B South Hall

Speaker: Nathan Williams

Title: Doppelgängers and Bijections of Plane Partitions

For certain root posets, there exists a "doppelgänger" minuscule poset---that is, both posets have the same number of linear extensions and the same number of plane partitions of height k. In these cases, there happens to also be a second minuscule poset whose top half is the root poset. These two facts are related.

We synthesize M. Haiman's rectification, H. Thomas and A. Yong's minuscule K-theoretic Schubert calculus techniques, and a remark made by R. Proctor to give a framework for combinatorial proofs of these poset coincidences.

This is joint work with Zachary Hamaker, Rebecca Patrias, and Oliver Pechenik.

December 3, 2019 - 1:41pm