2025.12.26, Donggyu Kim (김동규), Grassmann-Plücker functions for orthogonal matroids
Автор: IBS Discrete Mathematics Group
Загружено: 2025-12-26
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Donggyu Kim (김동규), Grassmann-Plücker functions for orthogonal matroids
December 26 Tuesday @ 4:30 PM - 5:30 PM KST
Room B332, IBS (기초과학연구원)
Donggyu Kim (김동규)
Georgia Institute of Technology
https://sites.google.com/view/donggyu...
We present a new cryptomorphic definition of orthogonal matroids with coefficients using Grassmann-Plücker functions. The equivalence is motivated by Cayley’s identities expressing principal and almost-principal minors of a skew-symmetric matrix in terms of its pfaffians. As a corollary of the new cryptomorphism, we deduce that each component of the orthogonal Grassmannian is parameterized by certain part of the Plücker coordinates.
This is joint work with Changxin Ding.
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