Flag positroid pipe dreams
Martha Yip (University of Kentucky)
| Sun Oct 25, 17:00-18:00 (2 days from now) | |
| Lecture held in Temple 1169. |
Abstract: We introduce flag positroid pipe dreams (FPPs), whose role in the study of complete flag positroids is analogous to the role of Le-diagrams in the study of positroids. FPPs are in bijection with intervals in the Bruhat order and hence index Richardson cells in the decomposition of the nonnegative flag variety. In this talk, we will show how a flag positroid can be built rank by rank via FPPs, and conversely given an FPP, how to recover the constituents of its associated complete flag positroid in terms of their Le-diagrams. As an application, we address a problem posed by Chen et al. regarding a characterization of elementary positroid quotients via the cyclic shift operators of Benedetti et al.
algebraic geometrycombinatorics
Audience: researchers in the discipline
Series comments: The 2026 annual Mid-Atlantic Algebra, Geometry, and Combinatorics (MAAGC) Workshop will take place October 23-25, 2026, at VCU.
The MAAGC Workshop aims to bring together senior researchers and junior mathematicians from the region to exchange ideas and forge collaborations in algebra, geometry, and combinatorics. The conference is funded by National Science Foundation grant DMS-2408985.
| Organizer: | Nicola Tarasca* |
| *contact for this listing |