Auflistung nach Autor "Grinberg, Darij"

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Birational Rowmotion on a Rectangle over a Noncommutative Ring

[OWP-2022-17] Grinberg, Darij; Roby, Tom (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-20)

We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014. The proof ...
The Elser Nuclei Sum Revisited

[OWP-2021-05] Grinberg, Darij (Mathematisches Forschungsinstitut Oberwolfach, 2021-03-16)

Fix a finite undirected graph $\Gamma$ and a vertex $v$ of $\Gamma$ . Let $E$ be the set of edges of $\Gamma$ . We call a subset $F$ of $E$ $\textit{pandemic}$ if each edge of $\Gamma$ has at least one endpoint that can be ...
Hopf Algebras in Combinatorics, Volume 1

[OWP-2020-14] Grinberg, Darij; Reiner, Victor (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-29)
Hopf Algebras in Combinatorics, Volume 2

[OWP-2020-15] Grinberg, Darij; Reiner, Victor (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-30)
The Pelletier-Ressayre Hidden Symmetry for Littlewood-Richardson Coefficients

[OWP-2020-18] Grinberg, Darij (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-08)

We prove an identity for Littlewood–Richardson coefficients conjectured by Pelletier and Ressayre. The proof relies on a novel birational involution defined over any semifield.